Slope Intercept

Question

What is the slope-intercept form of the equation 2x - 4y +10 = 0?

Answer 1

Hello, thank you for taking the time to post your question!

For the equation 2x−4y+10=0, you need to rearrange it to the slope-intercept form, which is y=mx+b.

Solving that algebraically for the value of “y” yields:

2x−4y+10=0

−4y=−2x−10

y=-2x/4 + -10/-4

y=1/2x + 5/2

I hope that helps you get moving in a better direction on this type of question! Feel free to reach out if you have any additional questions beyond that :)

Answer 2

Hi Christopher, the slope-intercept form of a line is: y = m * x + b, where m is the slope and b is the y-component of the y-intercept.

 

To convert: 2x - 4y + 10 = 0, to the slope-intercept form, solve the equation for y.

 

2x - 4y + 10 = 0

 

Subtract 10 from both sides:

 

2x - 4y = -10

 

Subtract 2x from both sides:

 

-4y = -2x - 10

 

Divide both sides by -4:

 

y = 1 / 2 * x + 5 / 2

 

Questions?