Answer:
y + 20 = 1(x + 10)
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
Calculate m using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (- 10, - 20) and (x₂, y₂ ) = (1, - 9)
m = [tex]\frac{-9+20}{1+10}[/tex] = [tex]\frac{11}{11}[/tex] = 1
Using (a, b) = (- 10, - 20), then
y - (- 20) = 1 (x - (- 10)), that is
y + 20 = x + 10
