Question

Write the equation of the line that passes through the points (-9, -8) and (–6,6).

Answer 1

Answer:

Slope - intercept form    $y = \frac{14}{3} x + 34$

Step-by-step explanation:

Explanation:-

Given points are ( -9 ,-8 ) and (-6,6)

slope of given two points

    $m = \frac{y_{2} -y_{1} }{x_{2}-x_{1} } = \frac{6-(-8)}{-6-(-9)} = \frac{14}{3}$

The equation of the straight line passing through the points and having slope

          $y - y_{1} = m ( x - x_{1} )$

        $y - (-8) = \frac{14}{3} ( x - (-9) )$

          3 y + 2 4 = 14 x + 126

           3 y = 14 x + 126 - 24

          3 y = 14 x + 102

            $y = \frac{14}{3} + \frac{102}{3}$

           $y = \frac{14}{3} x + 34$

Slope - intercept form  y= mx +C

Slope - intercept form    $y = \frac{14}{3} x + 34$