Question

Write the equation of the line that passes through (-3,6) with a slope of -2

Answer 1

                  - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -

$\diamond\large\blue\textsf{\textbf{\underline{Given question:-}}}$

       What is the equation of the line that passes through (-3, 6) and has a slope of -2?

$\diamond\large\blue\textsf{\textbf{\underline{\underline{Answer and how to solve:-}}}}\diamond$

     

First, we need to write the equation of the line in point-slope form:-

$\sf{y-y_1=m(x-x_1)}$

Replace y1 with 6, m with -2, and x1 with -3:-

$\sf{y-6=-2(x-(-3)}$

On simplification,

$\sf{y-6=-2(x+3)}$

On further simplification,

$\sf{y-6=-2x-6}$

Add 6 on both sides:-

$\it{y=-2x}$

Good luck with your studies.

          - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -