write an equation in slope-intercept form for the line that satisfies the set of conditions

Question

passes through (-9,-3) , perpendicular to y = -5/3x-8

 

Answer 1

y = -(5/3)x - 8

slope = -5/3

Perpendicular lines have slopes that are negative reciprocals of each other. So, the slope of the new line is 3/5.

y - y₁ = m(x - x₁)

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

y + 3 = (3/5)x + 27/5

y = (3/5) x + 2 2/5