Put answer in slope intercept form

Question

Through (-3,1), perpendicular to -3x -7y = 2

Answer 1

y = -3x/7 -2/7 has slope = -3/7

perpendicular line has a negative inverse slope = 15/7. Flip -3/7 upside down and change its sign to +7/3.

that line is y = mx + b, plug in the point (-3, 1), y=1, x=-3 to find b

1 = (7/3)(-3) + b, b = 7+1 = 8

perpendicular line's equation is y = 7x/3 + 8