Find the equation for the line that passes through 99 that h

Find the equation for the line that passes through (9,9) that has slope -107. Give your answer in point-slope form.

Solution

Let y = mx + b be the equation the line whose slope is m= - 107 and passing through the point ( - 9 , - 9 ) then

substitute x = -9 , y = - 9 and m = - 107 in y = mx + b   we get

- 9 = ( - 107)(-9) + b implies b = - 972

Therefore, the equation of the line is y = - 107x - 972