Question

A line passes through the point (-1,-13) and has a slope of 6. An equation of the line is

Answer 1

Recall that the slope-intercept form of the equation of a line is:

`y=mx+b,`

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

To take the given equation to its slope-intercept form, first, we multiply it by x+1 and get:

`\begin{gathered} y+13=6(x+1), \\ y+13=6x+6. \end{gathered}`

Subtracting 13, we get:

`\begin{gathered} y=6x+6-13, \\ y=6x-7. \end{gathered}`

Answer:

`y=6x-7.`