y - 4 = - [tex]\frac{5}{7}[/tex](x + 3 )
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 ) = (4, - 1) and (x₂, y₂ ) = (- 3, 4)
m = [tex]\frac{4+1}{-3-4}[/tex] = [tex]\frac{5}{-7}[/tex] = - [tex]\frac{5}{7}[/tex]
use either of the 2 points as a point on the line
using (a, b) = (- 3, 4 ), then
y - 4 = - [tex]\frac{5}{7}[/tex](x + 3 )
