Question

Use the information given to write an equation in standard form.

Slope is -2, and (4, 3) is on the line.

Answer 1

`2x+y=11`

Explanation:

Standard form of an equation is written as
`ax+by=c` for some constants
`a`,
`b`, and
`c`.

Slope-intercept form is written as
`y=mx+b` where
`m` is the slope and
`b` is the y-intercept.

Plugging in all given values in the problem (
`m=-2`,
`x=4`, and
`y=3`), we can solve for
`b`:

`3=-2(4)=b, \\b=11`.

Therefore, our equation in slope-intercept form is:

`y=-2x+11`.

Rewriting in this in standard form, we get our answer:

`\fbox{$2x+y=11$}`