Answer:
see explanation
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
(7)
Here m = - 3 and (a, b) = (5, 1), thus
y - 1 = - 3(x - 5) ← equation of line
(8)
Calculate m using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = A(- 2, 1) and (x₂, y₂ ) = B(- 1, 3)
m = [tex]\frac{3-1}{-1+2}[/tex] = 2
Using any of the 2 points as (a, b)
Using m = 2 and (a, b) = (- 2, 1), then
y - 1 = 2(x - (- 2)), that is
y - 1 = 2(x + 2) ← equation of line
