Respuesta :
Answer:
y = 2x + 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 )
Calculate m using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (- 2, 0) and (x₂, y₂ ) = (3, 10)
m = [tex]\frac{10-0}{3+2}[/tex] = [tex]\frac{10}{5}[/tex] = 2, thus
y = 2x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation
Using (- 2, 0), then
0 = - 4 + c ⇒ c = 0 + 4 = 4
y = 2x + 4 ← equation of line
