Question

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

Answer 1

Answer:

- 2

Step-by-step 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

$m=-\dfrac{A}{B}$

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

$m=-\dfrac{4}{2}=-2$