Question

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.

Answer 1

y = -2/3x + 2

Explanation:

we know that

The equation of the line into slope-intercept form is equal to

y=mx+b

where

m is the slope

b is the y-intercept

we have

2x+3y=6

Isolate the variable y

3y=-2x+6

y=-2/3x+6/3

y=-2/3x+2

the slope is m=-2/3

the y-intercept is b=2

Answer 2

The slope-intercept form is simply the way of writing the equation of a line so that the slope (steepness) and y-intercept (where the line crosses the vertical y-axis) are immediately apparent. Often, this form is called y = mx + b form.

Hence, the slope-intercept form of the equation is as follows:

3y = -2x + 6

y = -2/3x + 2

I hope my answer has come to your help. God bless and have a nice day ahead!