Answer:
y = [tex]\frac{5}{2}[/tex] x + 4
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}{2}[/tex], thus
y = [tex]\frac{5}{2}[/tex] x + c ← is the partial equation
To find c substitute (- 2, - 1) into the partial equation
- 1 = - 5 + c ⇒ c = - 1 + 5 = 4
y = [tex]\frac{5}{2}[/tex] x + 4 ← equation of line
