Write an equation in point-slope y - y1 = m(x - x1), form with the given information: perpendicular to y=2/3x-3 goes through (-2,4)

Question

what would this equation look like?

Answer 1

Hello Ini.

If two functions are perpendicular then their slopes are opposite reciprocals

If slope of one line is 2/3; slope of another is -3/2

So our answer is y - 4 = -3/2(x - -2)

Answer 2

slope of line y = 2/3 x - 3 is 2/3. Slope of line perpendicular to that line is -3/2, so m = -3/2

x1,y1 = (-2,4), so equation of line is:

y - 4 = -3/2(x + 2)