Answer:
y + 9 = - 10(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
Calculate m using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (1, - 9) and (x₂, y₂ ) = (- 10, 101)
m = [tex]\frac{101+9}{-10-1}[/tex] = [tex]\frac{110}{-11}[/tex] = - 10
Using (a, b) = (1, - 9), then
y - (- 9) = - 10(x - 1), that is
y + 9 = - 10(x - 1)
