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

y = 3/5x - 5

Step-by-step explanation:

1. Identify b (y intercept) in y = mx + b

This is (0,-5) on the graph, so your b is -5.

2. Identify slope

Choose another point on the graph, for example, (3,0).

Plug this coordinate (x,y) along with your known b and solve for m (slope)

0 = m3 - 5

5 = 3m

m = 3/5

3. Rewrite equation with known m and b

y = 3/5x - 5

y=5/2x-5

Slope=  

run

rise

=  

4

10

=  

2

5

Reduce the slope

\text{y-intercept: }-5

y-intercept: −5

From the graph.

y=mx+b

y=mx+b

slope-intercept form

y=\frac{5}{2}x-5

y=  

2

5

x−5