Question

Describe how to find the slope and y intercept of 2x+3y=6, then describe how would you graph the line.

Answer 1

Answer:

Step-by-step explanation:

In order to convert the standard form equation we are given now into slope-intercept form, we need to get y on one side by itself and solve for y.

Work.

2x+3y=6

-3y        -3y

2x=6-3y

-6      -6

2x-6=-3y

/-3        /3

-2/3x+2=y

y=-2/3x+2

Now that it is in slope intercept form, we can identify the y intercept and slope.

y-int=(0,2), slope=-2/3

I would graph the line by first plotting the y-intercept at the point (0,2). From there, I would plot the slope by going down 2 blocks and moving 3 blocks to the right. Then I would connect the two points with a ruler to get my line since you only need two points to create a line.