Answer:
the second option is the correct one
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 slope formula
m = ( y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (7, 5) and (x₂, y₂ ) = (- 4, - 1)
m = [tex]\frac{-1-5}{-4-7}[/tex] = [tex]\frac{-6}{-11}[/tex] = [tex]\frac{6}{11}[/tex]
Use either of the 2 points as (a, b)
using (- 4, - 1), then
y- (- 1) = [tex]\frac{6}{11}[/tex](x - (- 4)), that is
y + 1 = [tex]\frac{6}{11}[/tex](x + 4)
