Question

Rewrite the equation in slope-intercept form
3x - 2y = 8

Answer 1

y = 3/2 x - 4

Explanation:

The given equation is:

Recall that the slope-intercept form is of the form:

Therefore the equation can be rewritten as follows:

Answer 2

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

Explanation:

Linear functions can be written in different forms such as standard and slope-intercept form.

Rewriting the Equation

To rewrite standard form (Ax + By = C) into slope-intercept, simply solve for y. To solve for y, we need to isolate it. We can do this using the properties of equality. Firstly, move x to the opposite side.

Subtract 3x from both sides.

• -2y = -3x + 8

Then, divide both sides by -2.

• 
  `y=(3)/(2)x-4`

This is the slope-intercept form.

Interpreting the Values

Slope-intercept form is written as y = mx + b, m is the slope and b is the y-intercept. This means that the slope of the line we were given is 3/2. Additionally, the y-intercept is -4.