221k views
0 votes
Parallel, perpendicular, or neither? y = 3x - 4 and 5x + 15y = 30

User Willbill
by
3.4k points

1 Answer

5 votes

Answer:

perpendicular

Explanation:

To determine whether or not the lines are parallel, perpendicular, or neither, we must first find the slope of both lines.

The slope can be identified once the equation is in the format y = mx + b, where m represents the slope.

y = 3x - 4:

This equation is already in the form y = mx + b, where m = 3, so the slope here is 3.

5x + 15y = 30:

x + 3y = 6

3y = -x + 6

y = -1/3x + 2

Here, the slope is m = -1/3.

The product of two perpendicular slopes is always -1, and since 3 * -1/3 = -1, we have identified that the two slopes are perpendicular!

hope this helps :)

User Dwanderson
by
3.6k points