Give the slope intercept form of the equation of the line that is perpendicular to -7x - 3y = 12 and conatins P(2,3).

Question

I need to find the y= mx+b equation and the final answer should contain 3/7, since it's opposites. I'm just getting confused on the y-intercept part.

Answer 1

-7x-3y = 12

3y = -7x -12

y = -7x/3 -4 has slope = -7/3

perpendicular line has negative inverse slope = 3/7 goes through (2,3)

y-3 = (-7/3)(x-2) = -7x/3 +14/3

y = -7x/3 +23/3 in slope intercept form