what is the equation in point slope form of the line passing through (-2,-5) and (2,3)
Point slope form: y - y1 = m(x - x1)
m = (3 + 5)/(2 + 2) = 8/4 = 2
Point slope form:
y - 3 = 2(x - 2) if you're using this (2,3)
or
y + 5 = 2(x + 2) if you're using this (-2,-5)
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 ) = (- 2, - 5 ) and (x₂, y₂ ) = (2, 3 )
m = [tex]\frac{3+5}{2+2}[/tex] = [tex]\frac{8}{4}[/tex] = 2
use either of the 2 points for (a, b)
using (a, b) = (2, 3), then
y - 3 = 2(x - 2) ← in point-slope form
