General formula to determine the equation of the line y - y₁ = m(x - x₁) (x₁,y₁) is one of the points which lies n the line m represents the slope
Find the slope Given: (x₁,y₁) = (6,-6) (x₂,y₂) = (8,8)
We could find the slope by using this formula m = [tex] \dfrac{ y_{2} -y_{1} }{ x_{2} -x_{1} } [/tex]
Plug in the numbers m = [tex] \dfrac{ y_{2} -y_{1} }{ x_{2} -x_{1} } [/tex] m = [tex] \dfrac{8-(-6)}{8-6} [/tex] m = [tex] \dfrac{14}{ 2 } [/tex] m = 7 The slope is 7
Determine the line equation Plug one of the points (you could choose any of points given from the question) and the slope to the formula of line equation y - y₁ = m(x - x₁) y - (-6) = 7(x - 6) y + 6 = 7x - 42 y = 7x - 42 - 6 y = 7x - 48 This is the equation of the line
