Write the equation of the line fully simplified slope-intercept form.

Step-by-step explanation:

y = mx + b  <-- slope intercept form

Looking at the line from point (0,-5) to (3,0)

The slope (mx), rise over run

Rises 5 (in the positive direction, up) and runs 3 (in the positive direction, right)

the slope being 5/3

Then the b being your y-intercept

-5 will be your b because the line crosses the y axis at (0,-5) but the y-intercept is -5

Overall: y = x + (-5)

or

y = 5/3 x - 5