Question

how to figure out the slope-intercept form of the equation of the line through (-1,3) and parallel to y=-5x-5

Answer 1

Answer:

The correct option is C

The equation is:

`y=-5x-2`

Step-by-step explanation:

Given the equation:

`y=-5x-5`

Where the slope is -5 and y-intercept is -5.

An equation parallel to this have the same slope but different y-intercept. It is of the form:

`y=-5x+b`

Given that it passes through (-1, 3), we have:

`\begin{gathered} 3=-5(-1)+b \\ 3-5=b \\ b=-2 \end{gathered}`

The equation is therefore:

`y=-5x-2`