I need help with a math problem.

Question

Find the equation of the line using the point-slope formula. Write the final equation using slope-intercept form. Perpendicular to 7y=x-4 and passes through the point (-2,2)

Answer 1

perpendicular through 7y=x-4

rewrite that as y = x/7 -4/7 means slope = 1/7= the coefficient of the x term

the perpendicular would then have a negative inverse slope =-1/(1/7) = -7

through the point (-2,2) would be a line with equation slope=slope:

-7 = (y-2)/(x+2) = change in y over change in x

or

y-2 = -7x -14

y = -7x -12 in slope intercept form