Question

The slope of the line below is 0.5 − . What is the y-coordinate on this line when its x-coordinate is 20? Show how you determined your answer.

Answer 1

The y-coordinate on the given line when its x-coordinate is 20 is;

y = -4

We are told that the slope of the line is -0.5.

Thus; m = -5

Now, from the line given line given in the graph image, the coordinates given are; (-4, 8) and (20, y)

      Now, the formula for slope between two coordinates is;

m = (y₂ - y₁)/(x₂ - x₁)

plugging in the relevant values gives;

-0.5 = (y - 8)/(20 - (-4))

-0.5 = (y - 8)/24

y - 8 = 24 × -0.5

y - 8 = -12

y = -12 + 8

y = -4

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