Question

Write the final equation using the slope-intercept form perpendicular to 3y = x − 4 and passes through the point (−2, 1)

Answer 1

y=-3x-5

Explanation:

given equation:

3y=x-4

slope intercept form is y=mx+b

(m is the slope, b is the y intercept)

divide by 3

y=1/3x-4/3

perpendicular lines have slopes that are negative and reciprocal. If you multiply them together, the result is -1.

so to find the slope of the perpendicular line, use this equation:

1/3m=-1

multiply by 3

m=-3

the slope of the new line is -3.

here is our equation so far:

y=-3x+b

now, we need to find b.

Since the equation of the line passes through the point (-2,1) we can substitute that into the equation to find b

1=-3(-2)+b

multiply

1=6+b

subtract 6

-5=b

so the line is y=-3x-5

Hope this helps!