Question

#4

Write an equation in slope-intercept
form to represent the line
perpendicular to 6y = 9 - x with
y-intercept 2
O y = -6x + 2
O y = 2x + 9

Answer 1

A, y= -6x + 2

Explanation:

1. Put the equation into slope intercept form

6y = 9 - x

y= -1/6x + 9/6

The slope of equation 1 is -1/6

2. A perpendicular line is the inverse slope of our firsy equation. (-1/6)^-1 = -6.

3. The y intercept of a line in slope intercept form is the b value in the equation as written:

y=mx+b

Therefore, if m=-6 and b=2, our equation is

y= -6x + 2