Question

Write the equation of a line that is perpendicular to the given line and that passes through the given point.

y – 1 = 4/9 (x – 2); (2, 1)

pls provide work

Answer 1

y=-9/4x+11/2

Explanation:

This is point slope form, you can put it in slope intercept form if it is easier: y-1=4/9(x-2)=y=4/9x+b. Perpendicular lines must have a negative reciprocal slope. Perpendicular line equation: y=-9/4x+b. You then plug in values: 1=-9/4(2)+b. b=11/2.