Math

QuestionConvert the equation -2x + 8y = 2 to slope-intercept form (y = mx + b).

Studdy Solution

STEP 1

Assumptions1. The given equation is x+8y=-x +8y = . We want to write this equation in slope-intercept form, which is y=mx+by = mx + b, where mm is the slope and bb is the y-intercept.

STEP 2

To get the equation in slope-intercept form, we need to isolate yy. We can start by adding 2x2x to both sides of the equation to move the 2x-2x term to the right side.
2x+8y+2x=2+2x-2x +8y +2x =2 +2x

STEP 3

implify the equation.
8y=2x+28y =2x +2

STEP 4

Now, to isolate yy, we divide every term by 88.
8y8=2x8+28\frac{8y}{8} = \frac{2x}{8} + \frac{2}{8}

STEP 5

implify the equation to get the final answer.
y=14x+14y = \frac{1}{4}x + \frac{1}{4}So, the equation 2x+8y=2-2x +8y =2 in slope-intercept form is y=14x+14y = \frac{1}{4}x + \frac{1}{4}.

Was this helpful?

Studdy solves anything!

banner

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

ParentsInfluencer programContactPolicyTerms
TwitterInstagramFacebookTikTokDiscord