Answer:
y = [tex]\frac{3}{5}[/tex] x - [tex]\frac{26}{5}[/tex]
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{3}{5}[/tex], thus
y = [tex]\frac{3}{5}[/tex] x + c ← is the partial equation
to find c substitute (2, - 4) into the partial equation
- 4 = [tex]\frac{6}{5}[/tex] + c ⇒ c = - 4 - [tex]\frac{6}{5}[/tex] = - [tex]\frac{26}{5}[/tex]
y = [tex]\frac{3}{5}[/tex] x - [tex]\frac{26}{5}[/tex] ← equation of line
