Question

Use intercepts to graph the linear equation 4x+6y=12 .

Answer 1

First, put it into a graphing form:

4x + 6y = 12

6y = -4x + 12

y = -2/3 + 2

(I would graph this but it`s not letting me attach an image. I`ve laid out the steps below)

- Make a point at (0,2). It`s two units above the origin. This is your y-intercept.

- Move the dot two units down, and three units right. It should end up on the point mentioned in the next step

- Make another point at (3, 0). It`s three units to the right of the origin. This is your x-intercept.

- Continue moving two down , three right until that side of the graph is done.

- Go back to the y-intercept and move two units up, and three units left, until the line reaches the edge.

- Once you have the dots down, connect them with a ruler.

The easier way to do this is by just taking two points, and going all the way across the graph, but it`s not always accurate.

y-intercept = (0,2)

x-intercept = (3,0)

Hope this helps!

Answer 2

The Y Intercept is -2 and the slope is 4/6.

Explanation:

First, you need to convert that equation into y = mx + b. To do that you need to bring the 6x over on the other side first. 6y = 4x - 12 is what you get.

Then you need to get rid of the 6, you divide it into the 4 and 12 to do that.

You get y = 4/6x - 2.

Your slope is 4 rise and 6 run.

Your Y-intercept is negative 2.