Question

Put this equation into slope- intercept form. -2x + 3y = 9​

Answer 1

Slope-intercept form:

→ y = (2/3)x + 3

Explanation:

Given equation,

→ -2x + 3y = 9

Now we have to,

→ Convert this given equation into the slope-intercept form.

The slope-intercept form is,

→ y = mx + b

Let's convert the equation,

→ -2x + 3y = 9

→ 3y = 9 + 2x

→ 3y = 2x + 9

→ y = (2x + 9)/3

→ y = (2x/3) + (9/3)

→ y = (2/3)x + 3

From this slope-intercept form:

→ Slope (m) = 2/3

→ y-intercept (b) = 3

Thus, the answer is y = (2/3)x + 3.

Answer 2

y = 2/3x + 3

Explanation:

In order to put it in slope intercept form (y = mx + b), y needs to be isolated.

Add 2x to both sides:

-2x + 3y = 9​

3y = 2x + 9

Then, divide both sides of the equation by 3.

3y = 2x + 9

y = 2/3x + 3 is the equation in slope intercept form