What is the slope-intercept form of the linear equation

2x + 3y = 6?

Drag and drop the appropriate number, symbol, or variable to each box.

(-6)

(-3)

(-1)

(-3/2)

(-2/3)

(2)

(3)

(6)

Step-by-step explanation:

The equation of a straight line is represented in the slope intercept form as

y = mx + c

Where

c represents the y intercept

m = slope = (change in the value of y in the y axis) / (change in the value of x in the x axis)

The equation of the given line is

2x + 3y = 6

Rearranging the equation to take the slope intercept form, it becomes

3y = - 2x + 6

Dividing through by 3, it becomes

y = - 2x/3 + 2

Comparing with the slope intercept form,

slope = - 2/3

y intercept = 2