Answer:
see explanation
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y-intercept )
here m = [tex]\frac{5}{4}[/tex], hence
y = [tex]\frac{5}{4}[/tex] x + c ← is the partial equation
to find c substitute (4, - 3) into the partial equation
- 3 = 5 + c ⇒ c = - 3 - 5 = - 8
y = [tex]\frac{5}{4}[/tex] x - 8 ← equation of line
