Question

Find the equation of the line shown.

Answer 1

`y=-(1)/(4) x+2`

Explanation:

We can create an equation for the pictured line using slope-intercept form:

`y=mx+b`,

where
`m` is the line's slope, and
`b` is the y-value at the line's y-intercept.

First, we can find the line's slope.

slope = rise / run = -1/4

Next, we can find the line's y-value at its y-intercept, which is the y-coordinate at the point when it touches the y-axis (vertical axis):

2

Finally, we can put these pieces of information together into slope-intercept form:

`\bold{y=-(1)/(4) x+2}`