Answer:
is parallel to
![y=3x+7](https://img.qammunity.org/2021/formulas/mathematics/middle-school/4wsg11fw7r3eupjabgd0wwm90hdelc9t6z.png)
Explanation:
The complete exercise is: "Is
parallel, perpendicular or neither to
?"
The equation of the line in Slope-Intercept form is:
![y=mx+b](https://img.qammunity.org/2021/formulas/mathematics/middle-school/yj5waqmoy4i54laybzhhshd88hyo5w5rj5.png)
Where "m" is the slope of the line and "b" is the y-intercept.
First, in order to solve this exercise it is important to remember that, by definition:
1. The slopes of parallel lines are equal.
2. The slopes of perpendicular lines are negative reciprocal.
In this case, you have the following line given in the exercise:
You can identify that "m" and "b" are:
![m=3\\b=4](https://img.qammunity.org/2021/formulas/mathematics/middle-school/qve9gat5r3ow0yu1dvxlwuqy4zyczbqljt.png)
And the other line provided in the exercise is this one:
![y=3x+7](https://img.qammunity.org/2021/formulas/mathematics/middle-school/4wsg11fw7r3eupjabgd0wwm90hdelc9t6z.png)
So, you can identify that:
![m=3\\b=7](https://img.qammunity.org/2021/formulas/mathematics/middle-school/vlnnzdi36a71xf6mb4nhpb0ooboylao583.png)
As you can notice, the slopes of both lines are equal; therefore, you can conclude that those lines are parallel.