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

y = -5x/9 - 2/9

Explanation:

if two lines are perpendicular to each other,

the product of their slopes are -1

(slope of f)(slope of g) = -1

(9/5)(slope of g) = -1

(slope of g) = -5/9

equation of g:

(y - (-3))/(x - 5) = -5/9

(y+3) = -5/9 * (x-5)

y = -5x/9 + 25/9 - 3

y = -5x/9 - 2/9