Answer:
y = 2x + 4
Step-by-step explanation:
Find the slope m of the line passing through the 2 points using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (- 2, - 3) and (x₂, y₂ ) = (2, 5)
m = [tex]\frac{5+3}{2+2}[/tex] = [tex]\frac{8}{4}[/tex] = 2
Parallel lines have equal slopes, thus
y = 2x + c ← is the partial equation of the line
To find c substitute← (- 1, 2) into the partial equation
2 = - 2 + c ⇒ c = 2 + 2 = 4
y = 2x + 4 ← is the equation of the line
