Question

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

Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal
line.

Answer 1

Slope - intercept form
`y = (14)/(3) x + 34`

Explanation:

Explanation:-

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

slope of given two points

`m = (y_(2) -y_(1) )/(x_(2)-x_(1) ) = (6-(-8))/(-6-(-9)) = (14)/(3)`

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

`y - y_(1) = m ( x - x_(1) )`

`y - (-8) = (14)/(3) ( x - (-9) )`

3 y + 2 4 = 14 x + 126

3 y = 14 x + 126 - 24

3 y = 14 x + 102

`y = (14)/(3) + (102)/(3)`

`y = (14)/(3) x + 34`

Slope - intercept form y= mx +C

Slope - intercept form
`y = (14)/(3) x + 34`