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

1 Answer

7 votes

Answer:

- 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

User Raghvender Kataria
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