On the grid, draw the graph of for values of from
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On the grid, draw the graph of for values of from
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Line is drawn on the grid below.
Find the equation for the straight line .
Give your answer in the form
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On the grid, draw the graph of for values of from
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Complete the table of values for
On the grid, draw the graph of for values of from
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On the grid, draw the graph of for values of from —1 to 4
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The line is shown on the grid.
Find an equation for .
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On the grid below, draw the graph of for values of from
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The straight line has equation
Find the coordinates of the point where crosses the y‐axis.
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Write down an equation of the straight line with gradient –3 and which passes through the point with coordinates (0, 5)
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Write down an equation of a line that is parallel to the line with equation
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This graph shows part of a straight line.
Show that the gradient of the line is 2.5.
Write down the equation of the line.
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A line has equation
Circle the coordinates of the intercept of the line with the -axis.
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Two straight lines intersect at point .
Circle the coordinates of .
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On the grid, draw the graph of for values of from
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On the grid, draw the graph of for values of from
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The equation of the line is
The equation of the line is
Show that these two lines are parallel.
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and are parallel lines.
The equation of is
passes through the point .
Find an equation for .
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The diagram shows a straight line, , drawn on a grid.
A straight line, , is parallel to the straight line and passes through the point .
Find an equation of the straight line .
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is a line segment.
The midpoint of the line segment has coordinates (3, 5)
Point has coordinates (9, 2)
Work out the coordinates of point .
Work out an equation of the straight line that passes through (9, 2) and (3, 5)
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The line has equation
Find the gradient of .
The line is perpendicular to and passes through the point (3, 1).
Find the equation of in the form , where and are constants.
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The straight line has equation
The straight line passes through the points and
Michael says that the lines and are perpendicular.
Is Michael correct?
You must show clearly how you get your answer.
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The straight line has equation
The straight line is perpendicular to and passes through the point (9 , -1)
Find an equation for
Give your answer in the form
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The graph shows two parallel lines, Line A and Line B.
Line A has equation .
Line B passes through the point (4, 26).
Find the equation of Line B.
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A straight line passes through the point (0, 6) and is perpendicular to y = 4x − 5.
Find the equation of this line, giving your answer in the form y = mx + c.
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Point A has coordinates (-4, 6) and point B has coordinates (8, 3).
[2]
[2]
Point P has coordinates (0, -2).
Write down the equation of the line parallel to line AB that passes through P.
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Show that line 3y = 4x − 14 is perpendicular to line 4y = −3x + 48.
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The equation of a straight line is
Circle the point where the line crosses the -axis.
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A straight line
has gradient 6
and
passes through the point (3, 19)
Work out the equation of the line.
Give your answer in the form
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Jim buys a plant of height 20 cm.
The graph shows how the height of the plant changes during the next 4 days.
Work out a formula for in terms of .
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The line is drawn below.
Find an equation of the line perpendicular to line that passes through the point (0, 1).
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The straight line has equation
Find an equation of the straight line perpendicular to that passes through (-8, 3).
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The straight line has the equation
The point has coordinates (3, —5)
Find an equation of the straight line that is perpendicular to and passes through .
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Find an equation of the line that passes through and is perpendicular to .
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The line has equation
Show that the point lies on .
Find an equation of the line perpendicular to , which passes through . Give your answer in the form , where and are integers.
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The line has equation
The line is perpendicular to and passes through the point .
Find an equation for in the form , where and are integers.
The line crosses the -axis at the point and the -axis at the point .
Find the -coordinate of and the -coordinate of .
Given that is the origin,
find the area of the triangle .
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The points and have coordinates and respectively.
The line is perpendicular to and passes through the midpoint of
Find an equation for
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is the point with coordinates
is the point with coordinates
The straight line goes through both and .
Is the line with equation perpendicular to line ?
You must show how you got your answer.
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The straight line passes through the points (4, −1) and (6, 4)
The straight line is perpendicular to and intersects the -axis at the point (0, 8)
Find the coordinates of the point where intersects the -axis.
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is a rhombus.
The diagonals, and , intersect at the point .
The coordinates of are
The points and both lie on the line with equation
Find the exact coordinates of the point where the line through and intersects the .
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P is the point (0, -1) and Q is the point (5, 9).
Find the equation of the line through P that is perpendicular to the line PQ.
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Here is line L and the graph of
The scales of the axes are not shown.
Work out the equation of line L.
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Show that the lines and are parallel.
Do not use a graphical method.
Is the point (–5, –6) above, below or on the line ?
Tick one box.
Above Below On the line
You must show your working.
Do not use a graphical method.
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Figure 1
The line has equation
Find the gradient of .
The line crosses the -axis at the point and the -axis at the point , as shown in Figure 1.
The line is perpendicular to and passes through .
Find an equation of .
The line crosses the -axis at the point .
Find the area of triangle .
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is a rhombus.
The coordinates of are
The equation of the diagonal is
Find an equation of the diagonal .
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Figure 2
The line , shown in Figure 2 has equation
The line passes through the origin and is perpendicular to
Find an equation for the line
The line intersects the line at the point .
Line crosses the -axis at the point as shown in Figure 2.
Find the area of triangle .
Give your answer in the form , where and are integers to be determined.
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The point has coordinates
The point has coordinates
A line perpendicular to is given by the equation
Find an expression for in terms of .
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is a square.
and are points on the -axis.
is a point on the -axis.
is a straight line.
The equation of the line that passes through the points and is
Find the length of .
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(—2, 1), (6, 5) and (4, ) are the vertices of a right-angled triangle .
Angle is the right angle.
Find an equation of the line that passes through and .
Give your answer in the form where , and are integers.
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The points and have coordinates (3, 4) and (7, —6) respectively. The straight line passes through and is perpendicular to . Find an equation for , giving your answer in the form , where and are integers.
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is a rectangle.
and are points on the straight line with equation
and are points on the straight line .
Find an equation for .
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is an isosceles triangle with
is the point with coordinates (–1, 5)
is the point with coordinates (2, 10)
is the midpoint of .
Find an equation of the line through the points and .
Give your answer in the form where and are integers.
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and are two straight lines.
The origin of the coordinate axes is .
has equation
is perpendicular to and passes through the point with coordinates (8, 6)
crosses the -axis at the point .
intersects the straight line with equation at the point .
Find the area of triangle .
Show your working clearly.
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The straight line passes through point (– 6, 2) and point (5, 3)
The straight line is perpendicular to and passes through the midpoint of and .
The line intersects the line at point .
Calculate the area of triangle .
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Line A has equation
Line B is
perpendicular to line A
and
passes through the point (8, 5)
Work out the coordinates of the point where line B intersects the -axis.
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