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Higher June 2017 Unit 1 Q4

WJECHigherCurrent spec3 marksLinear Graphs & Gradients

4.

(a)
Sketch of a straight line with negative gradient crossing the positive y-axis and the positive x-axis
Which one of the following equations could represent the line shown in the graph above?
Circle your answer. [1]

\(y = -x - 2\)     \(y = -x + 2\)     \(y = x + 2\)     \(y = x - 2\)     \(y = -x.\)

(b) Which one of the following points lies on the line \(2y = 3x + 4\)?
Circle your answer. [1]

(2, −5)     (5, 2)     (−2, 5)     (2, 5)     (−2, −5)

(c)
Straight line through (0, -2) and (3, 0); x-axis marked 3, 6, 9 and y-axis marked -2, 2, 4
What is the gradient of the line shown in the graph above?
Circle your answer. [1]

\(\dfrac{3}{2}\)     \(-\dfrac{3}{2}\)     \(\dfrac{2}{3}\)     \(-\dfrac{2}{3}\)     \(-6\)