Question

Please Help Math!!!

Answer 1

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:

$m =\frac{(y2-y1) }{(x2-x1)}$

Substituting we have:

$m =\frac{(5-0)}{(5-2.5)}$

$m =\frac{(5)}{(2.5)}$

$m = 2$

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:

$y = 2x-5$

Option D

Answer 2

Answer:

D

Step-by-step explanation: