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QUESTION IMAGE

2. $y = \\frac{3}{4}x - 2$ | x | y | | -4 | | | 0 | | | 4 | | | 8 | | (…

Question

  1. $y = \frac{3}{4}x - 2$
xy
-4
0
4
8

(and a coordinate grid)

Explanation:

Step1: Substitute x=-4 into equation

$y = \frac{3}{4}(-4) - 2 = -3 - 2 = -5$

Step2: Substitute x=0 into equation

$y = \frac{3}{4}(0) - 2 = 0 - 2 = -2$

Step3: Substitute x=4 into equation

$y = \frac{3}{4}(4) - 2 = 3 - 2 = 1$

Step4: Substitute x=8 into equation

$y = \frac{3}{4}(8) - 2 = 6 - 2 = 4$

Answer:

xy
0-2
41
84

To graph the line: plot the points (-4, -5), (0, -2), (4, 1), (8, 4) on the coordinate grid, then draw a straight line connecting them.