Answer:
y = - [tex]\frac{3}{4}[/tex] x - [tex]\frac{5}{2}[/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}{4}[/tex] , then
y = - [tex]\frac{3}{4}[/tex] x + c ← is the partial equation
To find c substitute (2, - 4 ) into the partial equation
- 4 = - [tex]\frac{3}{2}[/tex] + c ⇒ c = - [tex]\frac{8}{2}[/tex] + [tex]\frac{3}{2}[/tex] = - [tex]\frac{5}{2}[/tex]
y = - [tex]\frac{3}{4}[/tex] x - [tex]\frac{5}{2}[/tex] ← equation of line
