Linear Equations

Solve 2x + 2 = 8 – x

• x = 2

• x = 3

• x = 5

• x = 6

• x = -2

Use a Table of Values for the values of x between –2 and 4 to help you decide which of the following is the graph of y = –2x + 3.

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Find the x- and y-intercepts of 2x – 5y = 20, and use your answers to sketch the graph.

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Which point below lies on the line 4x – 3y + 1 = 0?

• (6, 6)

• (1, –2)

• (5, 5)

• (2, 3)

• (–1, –2)

Find the gradient of the line below.

• 2

• -2

• ½

• -½

• 4

Find the gradient of the line joining the points (3, –3) and (6, –5).

• 2/3

• -2/3

• 3/2

• -3/2

• -3/8

What is the gradient and y-intercept of y = 9 + 3x

• Gradient 3, y-intercept 9

• Gradient 9, y-intercept 3

• Gradient –3, y-intercept 9

• Gradient –3, y-intercept 3

• Gradient 3, y-intercept –3

Find the gradient and y-intercept of the line below and hence write its equation.

• y = 4 – 2x

• y = 4 + 2x

• y = –4 – 2x

• y = –4 + 2x

• y = 2 – 4x

Use the gradient and y-intercept method to sketch the graph of y = –½x + 3.

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Find the equation of the line that passes through the points (1, –3) and (3, 5).

• y = 7 + 4x

• y = 7 – 4x

• y = –7 + 4x

• y = –7 – 4x

• y = –4 + 7x