Use the pointslope formula to write an equation of the line

Use the point-slope formula to write an equation of the line given the following information. Write the final answer in slope-intercept form if possible. The line passes through the point (-7, 4) and is perpendicular to the line y = 1/3x + 2. y =

Solution

perpendicula to y = x/3 +2

slope of line for which equation is to be found m = -3

Point slope formula : y -y1 = m(x - x1)

where m is slope , (x1 , y1) = (-7 , 4)

y - 4= -3(x +7)

y -4 = -3x -21

y = -3x -17 ( slope intercept form)