How do you find the slope and intercept of 4x – 2y = 6?

2 Answers
Dec 7, 2015

Using slope-intercept form, the slope of the line 4x - 2y = 6 is 2/1, and the y-intercept is (0, -3).

Explanation:

The first thing we can notice is that this equation's terms are all easily divisible by 2, so we can divide all the terms by 2:

2x - y = 3.

Next, we can manipulate this equation into slope-intercept form, which is y = mx + b, where m =the slope of the line and b =the y-coordinate of the y-intercept. We're trying to isolate y, so subtract 2x from both sides:

-y = -2x + 3.

Now divide both sides/all terms by -1:

y = 2x - 3.

From here, we can clearly see that m = 2, or 2/1, and b = -3, which means the slope is 2/1 and the y-intercept is (0, -3).

Dec 7, 2015

The slope, m, is 2 and the y-intercept, b is -3.

Explanation:

4x-2y=6

Solve for y.

Subtract 4x from both sides of the equation.

-2y=-4x+6

Divide both sides by -2.

y=(-4)/(-2)x+6/(-2)

Simplify.

y=2x-3

Slope-intercept form is y=mx+b, where m is the slope, 2, and b is the y-intercept, -3.