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
Calculate m using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (- 2, - 3) and (x₂, y₂ ) = (- 7, 4)
m = [tex]\frac{4+3}{-7+2}[/tex] = [tex]\frac{7}{-5}[/tex] = - [tex]\frac{7}{5}[/tex]
We can use either of the 2 points for (a, b)
Using (a, b) = (- 7, 4), then
y - 4 = -[tex]\frac{7}{5}[/tex](x - (- 7)), that is
y - 4 = - [tex]\frac{7}{5}[/tex](x + 7) ← in point- slope form
