Question

Which equation represents the line
3x - 2y = -8 in slope-intercept
form?

Answer 1

The slope -intercept form of the equation is;

y =
`(3)/(2)` x + 4

Explanation:

The slope-intercept form of an equation is;

y = mx + c

where m is the slope and c represent the intercept

To represent the equation given; 3x - 2y = -8 in its slope intercept form, we will follow the steps below:

3x - 2y = -8

subtract 3x from both-side of the equation

3x - 3x -2y = -3x - 8

-2y = -3x -8

Divide throught the equation by -2

-2y/-2 =-3x/-2 -8/-2

y =
`(3)/(2)` x + 4

The slope -intercept form of the equation is;

y =
`(3)/(2)` x + 4