Question

Which of these equations is parallel to y = 4x - 6?A. y = 1/4x + 6B. y = 4x -5C. y = 3x - 6D. y = 4x - 6E. y = -1/4x + 6

Answer 1

Given the Linear Equation:

`y=4x-6`

You can identify that it is written in Slope-Intercept Form:

`y=mx+b`

Where "m" is the slope of the line and "b" is the y-intercept.

Then, you can identify that:

`\begin{gathered} m=4 \\ b=-6 \end{gathered}`

By definition, parallel lines have equal slope but the y-intercepts are different. Therefore, a line parallel to the given line must have the same value of "m", but a different value of "b".

Notice the equation:

`y=4x-5`

You can identify that:

`\begin{gathered} m=4 \\ b=-5 \end{gathered}`

Therefore, it is parallel to the line given in the exercise.

Hence, the answer is: Option B.