Question

What is the slope of the line that had that equation 4x+2y=12

Answer 1

- 2

Explanation:

The slope intercept form of an equation of a line:

`y=mx+b`

m - slope

b - y-intercept

We have the equation of a line in the standard form

`Ax+By=C`

Convert to the slope-intercept form:

`4x+2y=12` subtract 4x from both sides

`2y=-4x+12` divide both sides by 2

`y=-2x+6`

Therefore the slope is equal to -2.

Other method:

If we have the equation of a line in standard form Ax + By = C

or in general form Ax + By + C = 0, then the formula of a slope is

`m=-(A)/(B)`

We have A = 4 and B = 2. Substitute:

`m=-(4)/(2)=-2`