Exercises for Question Type 2: Finding the equation of a straight line using a point and a gradient

Question 1

Skill question

Determine the linear equation for the line through $(- 2, 3)$ with gradient $7$ .

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Question 2

Skill question

Find the equation of the line passing through the point $(1, 2)$ with gradient $3$ , in the form $y = m x + c$ .

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Question 3

Skill question

Find the equation of the line passing through $(3, 2)$ with gradient $- \frac{2}{3}$ .

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Question 4

Skill question

Write the equation of the line through $(5, - 3)$ with gradient $\frac{4}{5}$ .

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Question 5

Skill question

Find the equation of the line through $(1, 1)$ with gradient $- 1$ .

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Question 6

Skill question

Determine the equation of the line through the origin with gradient $5$ .

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Question 7

Skill question

Determine the equation of the line passing through $(2.5, - 1)$ with gradient $2$ .

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Question 8

Skill question

Find the equation of the line passing through $(4, 1)$ with gradient $\frac{1}{2}$ .

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Question 9

Skill question

Determine the equation of the line through $(2, 4)$ with gradient $6$ .

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Question 10

Skill question

Find the equation of the line through $(- 3, - 2)$ with gradient $- \frac{3}{4}$ .

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Question 11

Skill question

Write down the equation of the horizontal line through $(3, - 2)$ (gradient $0$ ).

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Question 12

Skill question

Find the equation of the line through $(- 1, 5)$ with gradient $- 2$ .

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IB Mathematics Analysis and Approaches Question Type 2: Finding the Equation of a Straight Line Using a Point and a Gradient Exercises