4x−8y=24 to slope-intercept form

5 answers

We need to isolate y on one side of the equation, so we can write:

4x − 8y = 24

Starting with the left side, we can factor out 4 from both terms:

4(x − 2y) = 24

Dividing both sides by 4, we get:

x − 2y = 6

Now we can solve for y by subtracting x from both sides and then dividing by -2:

-2y = -x + 6

y = (1/2)x - 3

Therefore, the slope-intercept form of the equation is y = (1/2)x - 3.
4x−8y=24 to slope-intercept form
We can start by isolating y on one side of the equation.

4x - 8y = 24

Subtracting 4x from both sides gives:

-8y = -4x + 24

Dividing by -8:

y = (1/2)x - 3

So the equation in slope-intercept form is y = (1/2)x - 3.
y−2=3/2(x+2) in slope-intercept form.
We need to simplify the equation and isolate y on one side, which can be done as follows:

y - 2 = (3/2)(x + 2)

y - 2 = (3/2)x + 3

Adding 2 to both sides gives:

y = (3/2)x + 5

This is now in slope-intercept form, where the slope is 3/2 and the y-intercept is 5.