Question

The equation for line f can be written as y=
9
5
x–2. Perpendicular to line f is line g, which passes through the point (5,
–
3). What is the equation of line g?
Write the equation in slope-intercept form. Write the numbers in the equation as simplified proper fractions, improper fractions, or integers.

Answer 1

Slope of f is 9/5, so the perpendicular slope is -5/9. Use point-slope with (5,-3):

y + 3 = -5/9 (x - 5)
y = -5/9 x + 25/9 - 27/9
y = -5/9 x - 2/9

So the equation is y = -5/9 x - 2/9.