A and E
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 gradient formula
m = ( y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (- 1, - 4 ) and (x₂, y₂ ) = (3, 2 )
m = [tex]\frac{2+4}{3+1}[/tex] = [tex]\frac{6}{4}[/tex] = [tex]\frac{3}{2}[/tex]
using (a, b ) = (- 1, - 4 ), then
y + 4 = [tex]\frac{3}{2}[/tex](x + 1 ) → A
using (a, b) = (3, 2 ), then
y - 2 = [tex]\frac{3}{2}[/tex](x - 3 ) → E
