Question

What is the slope and the y-intercept of the equation 3+2x=−15/2y. Write the y-intercept as an ordered pair.

Answer 1

4x−8y=24 to slope-intercept form

Answer 2

To convert the equation to slope-intercept form, we need to solve for y:
3+2x=−15/2y
Divide both sides by -15/2:
-2/15(3+2x) = y
Simplify:
y = -2/15(3) - 2/15(2x)
y = -2/5 - 4/15x

Therefore, the slope is -4/15 and the y-intercept is (0, -2/5).

Answer 3

To convert the equation to slope-intercept form, we need to solve for y:

4x - 8y = 24

First, subtract 4x from both sides:

-8y = -4x + 24

Next, divide both sides by -8:

y = (1/2)x - 3

Now the equation is in slope-intercept form, where the slope is 1/2 and the y-intercept is -3.