Question

3.

Line A has the equation y = 8x + 12. Line C has the equation y = -x - 4.
Line B is perpendicular to Line A. Line B has the same y-intercept as Line C.
What is the equation of Line B? Show or explain your answer.

Answer 1

Line B is y=-1/8x-4

Explanation:

We are given that:

Line A is y=8x+12

Line C is y=-x-4

Line B is perpendicular to Line A, and has the same y intercept as line C.

The equations are written in slope-intercept form, or y=mx+b, where m is the slope and b is the y intercept

The y intercept of line B is -4, which is also the y intercept of line C

here's our equation for line B so far:

y=mx-4

perpendicular lines have slopes that are negative and reciprocal; when you multiply them, they equal to -1.

To find the slope of Line B, use this formula:

8m=-1

divide by 8

m=-1/8

the slope of Line B is -1/8

So Line B is y=-1/8x-4

Hope this helps!