Question

Which lines are parallel to the line with equation y=8x+5? Select all that apply.

A) y=−8x+5
B) y=8x−5
C) y=8x
D) y=8x+8

Answer 1

The lines with equations y=8x-5, y=8x, and y=8x+8 are parallel to the line with equation y=8x+5 because they all have the same slope, which is 8.

Step-by-step explanation:

The question is asking which lines are parallel to the line with the equation y=8x+5. Two lines are parallel if they have the same slope. The slope is the number in front of the x in the equation of the form y=mx+b, where m is the slope and b is the y-intercept.

Looking at the given equations:

• y=-8x+5 - This line has a slope of -8, which is not equal to 8, so it is not parallel.
• y=8x-5 - This line has a slope of 8, which is equal to the slope of the given line, so it is parallel.
• y=8x - This line also has a slope of 8, so it is also parallel.
• y=8x+8 - This line has a slope of 8, which is the same as the given line, so it is parallel too.

Therefore, the equations of lines that are parallel to y=8x+5 are y=8x-5, y=8x, and y=8x+8.