Linear Equations and Straight Line Graphs-Mixed Question Review
Linear Equations and Straight Line Graphs-Mixed Question Review
Linear Equations and Straight Line Graphs-Mixed Question Review
I can……
1 Write down the equations of the lines
a) b) c)
Recognise and
plot graphs of the
d) e) f) form
x = a ,y = b and
y = ±x
Work out the
d) e) f) gradient of a
straight line
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4 For each graph write down
i) the gradient
ii) the y-axis intercept
ii) the equation of the line (y = mx + c)
a) b) c)
Find the equation
of a straight line
plotted on a
graph.
d) e) f)
5 Write down the equations of lines with the following gradients passing through
the given points.
a) Gradient = 2 b) Gradient = 3 c) Gradient = -1 Find the equation
Passing through (4,7) Passing through (1,5) Passing through(4,-4) of a straight line
given the gradient
d) Gradient = ½ e) Gradient = -2 f) Gradient = - ½ and a point on the
Passing through (2,6) Passing through (-5,0) Passing through(-4,4) graph
7 Find the equation of a line parallel to the given line through the point stated.
a) Parallel to y = 4x + 3 b) Parallel to y = 2x - 4 c) Parallel to y = x - 3
Passing through (1,4) Passing through (3,5) Passing through (-1,4) Identify and find
equations of
d) Parallel to y = 10 - x e) Parallel to y = ½x + 2 f) Parallel to y = 3 – 4x parallel lines.
Passing through (2,4) Passing through (4,8) Passing through (1,2)
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Linear Graphs Foundation
I can…… ANSWERS
1 Write down the equations of the lines
a) x = 2 b) y = -3 c) x = -1
Recognise and
plot graphs of the
d) y = x e) y = 2 f) y = -x form
x = a ,y = b and y
= ±x
Work out the
d) 2 e) -1 f) ¼ gradient of a
straight line
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4 For each graph write down
i) the gradient
ii) the y-axis intercept
ii) the equation of the line (y = mx + c)
a) gradient = 2 b) gradient = 3 c) gradient = 1
intercept = 1 intercept = 0 intercept = -2
y = 2x + 1 y = 3x y=x–2
Find the equation
of a straight line
plotted on a
graph.
d) gradient = ½ e) gradient = -2 f) gradient = -1
intercept = 1 intercept = 3 intercept = -2
y = ½x + 1 y = -2x + 3 y = -x - 2
5 Write down the equations of lines with the following gradients passing through
the given point.
a) Gradient = 2 b) Gradient = 3 c) Gradient = -1 Find the equation
Passing through (4,7) Passing through (1,5) Passing through(4,-4) of a straight line
y = 2x -1 y = 3x + 2 y = -x given the gradient
d) Gradient = ½ e) Gradient = -2 f) Gradient = - ½ and a point on the
Passing through (2,6) Passing through (-5,0) Passing through(-4,4) graph
y = ½x + 5 y = -2x -10 y = -½x + 2
6 Find the equation of the lines joining each pair of points (y = mx + c)
a) (0, 1) and (1, 3) b) (0, 3) and (2, 11) c) (0, 7) and (-1, 4)
y = 2x + 1 y = 4x + 3 y = 3x + 7 Find the equation
d) (0, -2) and (2, 4) e) (0, -1) and (-3, 8) f) (0, -4) and (-2, -10) of a line given 2
y = 3x - 2 y = -3x -1 y = 3x - 4 points (1).
7 Find the equation of a line parallel to the given line through the point stated.
a) Parallel to y = 4x + 3 b) Parallel to y = 2x - 4 c) Parallel to y = x - 3
Passing though (1,4) Passing though (3,5) Passing though (-1,4)
Identify and find
y = 4x y = 2x - 1 y = x + 5 equations of
parallel lines.
d) Parallel to y = 10 - x e) Parallel to y = ½x + 2 f) Parallel to y = 3 – 4x
Passing though (2,4) Passing though (4,8) Passing though (1,2)
y = -x + 6 y = ½x + 6 y = -4x + 6
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8 Find the equation of the lines joining each pair of points (y = mx + c)
a) (4, 2) and (2, 8) b) (6, 1) and (4, 7) c) (-1, 3) and (1, -5)
y = -3x + 14 y = -3x + 19 y = -4x - 4
Find the equation
of a line given 2
d) (4, -4) and (-2, 8) e) (2, 1) and (-1, 10) f) (2, -4) and (4, -3) points (2).
y = -2x + 4 y = -3x + 7 y = ½x - 5
60 marks
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