2 Answers

Rok Novosel · Answer 1 · 2019-01-19T00:37:13+0000

For this case we have:

By definition, to find the slope of a line you need two points where the line passes.

Looking at the graph we can see that the line passes through the following points:

$(x, y) = (0, -5)\\(x, y) = (2.5,0)\\(x, y) = (5,5)$

We chose two points:

$(x1, y1) = (2.5,0)\\(x2, y2) = (5,5)$

The equation of the slope is given by:

m =((y2-y1) )/((x2-x1))

Substituting we have:

m =((5-0))/((5-2.5))

m =((5))/((2.5))

m = 2

On the other hand, the linear equation of a line is given by:

y = mx + b

We substitute a point and the slope found to find the cut point b:

$5 = 2 * 5 + b\\5 = 10 + b\\b = 5-10 \\b = -5$

Thus, the equation of the line is given by:

y = 2x-5

Answer:

Option D

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