Question

Hiw would I find the slope and y intercept of 2x + y =21

Answer 1

Slope = -2

Y-intercept = 21

Explanation:

Given:

Equation of line:
`2x+y=21`

To find slope and y-intercept.

Solution:

In order to find slope and y-intercept of the line, we will convert the equation into the slope intercept form which is given as:

`y=mx+b`

where
`m` represents slope of line and
`b` represents y-intercept.

We have equation as :
`2x+y=21`

We will solve for
`y`

Subtracting both sides by
`2x`

⇒
`2x-2x+y=-2x+21`

⇒
`y=-2x+21`

Thus, the slope intercept form of the equation is given by:

`y=-2x+21`

Comparing it with the slope intercept equation, we see that slope
`m=-2` and y-intercept
`b=21`. (Answer)