Find the intercepts.
. (-1,5) and (-3,-5)

x-intercept: (-2, 0), y-intercept: (0, 10)

Step-by-step explanation:

First, we need to find the equation of this line. The formula to find the slope is:(y1-y2)/(x1-x2). Substituting the real numbers for this formula, (5-(-5))=10, (-1-(-3)=2. 10/2=5.

This means that the slope of this line is 5.

To find the complete equation for this line, we just need to plug in the x-value and add whatever needs to be added to attain the y-value. (You can plug in any x-value/y-value available.)

5=5(-1)+?

-5+10=5.

The complete equation for this line is y=5x+10.

From here, the y-intercept is easy, because the number after the coefficient and variable (5 and x) are before the y-intercept (in standard form). The y-intercept is (0, 10) because if you plug in 0 for the x-value, you will get 10 as your y-value.

On the other hand, if you plug in 0 for your y-value and solve it out, you will get the x-intercept.

0=5x+10

-10=5x

x=-2

So the x-intercept is (-2, 0).