Question

Slope = 2/5; y-intercept = -7

Answer 1

We want to find the equation of the line with given slope and y-intercept.

The slope-intercept form of a line is:

`y=mx+b`

Where

m is the slope

b is the y-intercept (y-axis cutting point)

We are given the slope and y-intercept, so we simply substitute it. Steps are shown below:

`\begin{gathered} y=mx+b \\ y=(2)/(5)x+(-7) \\ y=(2)/(5)x-7 \end{gathered}`

The equation of the line is:

`y=(2)/(5)x-7`