Answer:
y + 2 = 3(x + 1)
Step-by-step explanation:
the equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b) a point on the line
to calculate m use the gradient formula
m = ( y₂ - y₁ ) / ( x₂ - x₁ )
with (x₁, y₁ ) = (- 1, - 2) and (x₂, y₂ ) = (3, 10)
m = [tex]\frac{10+2}{3+1}[/tex] = [tex]\frac{12}{4}[/tex] = 3
use either of the 2 points as a point on the line
using (a, b) = (- 1, - 2), then
y + 2 = 3(x + 1)
