Question

The equation for line k can be written as y=
–
1
5
x–3. Perpendicular to line k is line 𝓁, which passes through the point (1,
–
5). What is the equation of line 𝓁?
Write the equation in slope-intercept form. Write the numbers in the equation as simplified proper fractions, improper fractions, or integers.

Answer 1

Line k has slope -1/5, so a perpendicular line has slope 5 (negative reciprocal). Using point-slope with (1, -5):

-5 = 5(1) + b → b = -10.

Thus the equation is y = 5x - 10.