Question

Write the slope-intercept equation for the line that passes through (-2, 3) and is perpendicular to 2x – 9y = -12 Please show all of your work.

Answer 1

If it is perpendivular the slope is the opposite reciprocal of the slope of the line 2x-9y=-12 which has a slope of 2/9. Therefore the perpendicular line has a slope of -9/2 or -4.5
y=-4.5x+b using the point (-2,3)
3=-4.5(-2) + b
b=-6
y=-4.5x-6

Answer 2

why is this not better asked in mathematics?