Question 979363

Write the equation of the line that passes through the points (2,-4) and (-2,-2):
<pre><sup><u>STEP 1</sup></u>
Find the slope
{{{(y[1] - y[2])/(x[1] - x[2])}}}
{{{(- 4 - - 2)/(2 - - 2)}}} ------- Substituting (2, - 4) for {{{system(x[1]_and,y[1])}}} and (- 2, - 2) for {{{system(x[2]_and,y[2])}}}
{{{(- 6)/4}}}______{{{- 3/2}}} ------- m (slope)

 
{{{y - y[1] = m(x- x[1])}}} ------- Point-slope form
{{{y - - 4 = (- 3/2)(x- 2)}}} ------- Substituting (2, - 4) for {{{system(x[1]_and,y[1])}}} and {{{- 3/2}}} for slope
{{{y + 4 = (- 3/2)x + 3}}}
{{{y = (- 3/2)x + 3 - 4}}}
{{{highlight_green(y = (- 3/2)x - 1)}}}