Question

Are the graphs of the lines in the pair parallel? Explain,

y = 3x - 17
4x - 6y = -6

A.)Yes, since the slopes are the same and the y-intercepts are the same.
B.)No, since the y-intercepts are different.
C.)No, since the slopes are different.
D.)Yes, since the slopes are the same and the y-intercepts are different.

Answer 1

Option A is the correct answer

Answer 2

C

0 No, since the slopes are different.

Explanation:

First, solve the second equation.

-6y=-16-4x

6y=16+4x

y=16/6+4/6x

y=2/3x+8/3

Next, look at the equation of a line's format.

y=mx+b

This means y=(m=slope)*x+b[when x=0, y=b]

In the first equation, y=3x-17, we can see that m=3, and b=-17

In the second equation, y=2/3x+8/3, m=2/3, and b=8/3

We know that m is the slope, and 3 does not equal 2/3.

Lines are only parallel when their slopes are the same

Therefore, the two lines are not parallel since the slopes are different.