Question

How do you find the slope and y intercept for: `2x+y=-16`?

Answer 1

`"slope "=-2," y-intercept "=-16`

Explanation:

`"the equation of a line in "color(blue)"slope-intercept form"` is.

`•color(white)(x)y=mx+b`

`"where m is the slope and b the y-intercept"`

`"Rearrange "2x+y=-16" into this form"`

`"subtract 2x from both sides"`

`cancel(2x)cancel(-2x)+y=-2x-16`

`rArry=-2x-16larrcolor(blue)"in slope-intercept form"`

`rArr"slope "=m=-2," y-intercept "=b=-16`

Answer 2

The slope is `-2` and the y-intercept is `-16`.

Explanation:

`2x+y=-16` is the standard form for a linear equation. Solve for `y` to get the slope-intercept form:

`y=mx+b,`

where:

`m` is the slope and `b` is the y-intercept.

Original equation:

`2x+y=-16`

Subtract `2x` from both sides of the equation.

`y=-2x-16`

`m=-2` and `b=-16`.