What is the slope of y intercept of the graph of 3x plus 6y equals 12?

Answer 1

The y-intercept of the line 3x + 6y =12 is ( 0, 2 )

The slope of the line 3x + 6y = 12 is -1/2

Firstly, let's find the y intercept. At the y intercept, the value of the x coordinate equals 0. Therefore, our equation would be:

3*0 + 6y = 12

0 + 6y = 12

6y = 12

We divide both sides by 6 and..

y = 2

We already know that x has to be 0, so the y intercept is at the point ( 0, 2 )

The slope can be found either by changing the form of the equation to slope-intercept form, or by finding another point on the line, and using the slope formula. Because it's getting late, I'm going to do the latter.

Easiest point to find will be the x-intercept. At that point, y = 0. (This will mean the math should be easy.)

3x + 6*0 = 12

3x = 12

x = 4.

So we have a second point at ( 4, 0 ). And the earlier point at ( 0, 2 ). The slope formula is ( y2 - y1 ) / ( x2 - x1 ). In our case:

( 2 - 0 ) / ( 0 - 4 )

2 / -4

Simplify

-1/2