Question

Write the equation of the line Perpendicular to g (x) = 3x – 0.77, going through the point (0,-5). Show all work.​

Answer 1

y = -⅓x - 5

Explanation:

the slope of g(x) = 3

=> the slope of the line perpendicular

to g(x) = -1 /3

so,

the line is :

y +5 = -⅓(x-0)

y = -⅓x - 5

Answer 2

• y=3x-0.77

On comparison to slope intercept form

• slope=m=3

Perpendicular lines have slopes negative reciprocal to each other

Slope of perpendicular line=-1/3

Equation

• y+5=-1/3x
• y=-1/3x-5