Question

What is the slope of a line that is parallel to the line shown?

Answer 1

The slope is 2/3.

Explanation:

To find the slope, you'd like to use formula of slope. The slope is y2-y1/x2-x1=rise/run.

y2=3

y1=(-1)

x2=3

x1=(-3)

Solve.

3-(-1)=3+1

3-(-3)=3+3

3+1=4

3+3=6

4/6

Divide 2 from numerator into denominator.

4/2=2

6/2=3

So, the slope is 2/3, which is our answer.

Answer 2

D. 2/3

Explanation:

All parallel lines have the same slope as another parallel line to it.

In this case, the line you have has a slope of 2/3. Since you are looking for a parallel line the slope for it would also be 2/3. If the other line was perpendicular to the line shown the slope would need to be reciprocated and made negative.