Question

Line s has an equation of y=
1
3
x–5. Line t is perpendicular to line s and passes through (
–
2,9). What is the equation of line t?
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 s = 1/3, so slope of t = negative reciprocal = -3.
Use point-slope through (-2, 9): y - 9 = -3(x + 2) = -3x - 6.
So y = -3x + 3.