Question

3x+2y=2 in slope intercept form!!!

Answer 1

`\displaystyle{ y= - ( 3)/(2) x+ 1}`

Explanation:

Slope-intercept is in form of y = mx + b where m is slope and b is y-intercept. We simply solve for y in term of x and then we will obtain the slope-intercept form.

Given the linear equation:

`\displaystyle{3x + 2y = 2}`

First, subtract both sides by 3x:

`\displaystyle{3x + 2y - 3x= - 3x + 2} \\ \\ \displaystyle{2y = - 3x + 2}`

Then divide both sides by 2:

`\displaystyle{ (2y)/(2) = ( - 3x + 2)/(2)} \\ \\ \displaystyle{ y = ( - 3x + 2)/(2)}`

Separate fractions (Simplify):

`\displaystyle{ y= ( - 3x)/(2) + (2)/(2)} \\ \\ \displaystyle{ y= - ( 3)/(2) x+ 1}`

And we have finally converted the equation to slope-intercept form.