Question

Which of the following lines is parallel to the line y= -3/2x-4?

Answer 1

1st option: y = -3/2x + 5

Explanation:

We have that the equation in its slope-intercept form is the following:

`\begin{gathered} y=mx+b \\ \\ \text{ where m is the slope and y-intercept is b} \end{gathered}`

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