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{1}{4}[/tex], thus
y = - [tex]\frac{1}{4}[/tex] x + c ← is the partial equation
To find c substitute (- 5, 3) into the partial equation
3 = [tex]\frac{5}{4}[/tex] + c ⇒ c = 3 - [tex]\frac{5}{4}[/tex] = [tex]\frac{7}{4}[/tex], hence
y = - [tex]\frac{1}{4}[/tex] x + [tex]\frac{7}{4}[/tex] ← equation in slope- intercept form
