Which of the following lines is parallel to the line y= -3/2x-4?
![Which of the following lines is parallel to the line y 32x4 class=](https://us-static.z-dn.net/files/d33/79237386a14a13356bb400ffb01a251a.png)
ANSWER:
1st option: y = -3/2x + 5
STEP-BY-STEP EXPLANATION:
We have that the equation in its slope-intercept form is the following:
[tex]\begin{gathered} y=mx+b \\ \\ \text{ where m is the slope and y-intercept is b} \end{gathered}[/tex]Two lines are parallel when the slope is the same, therefore, the line parallel to this line must have a slope equal to -3/2.
We can see that option 2 is the same line, therefore, they cannot be parallel, so the correct answer is 1st option: y = -3/2x + 5