So,
The slope-intercept form is as follows:
y = mx + b
"m" is the slope, and "b" is the y-intercept. The y-intercept for this equation is (0,b).
Our equation is [tex]y= \frac{4}{5} x-3[/tex]
That means that [tex] \frac{4}{5} [/tex] is the slope, and -3 is the y-intercept.