Question

Rewrite the linear equation 4x+3y=6 to in slope-intercept form

Answer 1

`y=-(4x)/(3) +2`

Explanation:

Step 1: Remember slope and intercept form

Remember that slope-intercept form is y=mx+b

Step 2: Solve

Rearrage and isolate y

`4x+3y=6\\3y=-4x+6\\y=(-4x)/(3)+2`

Step 3: Therefore Statement

Therfore the slope intercept form of the equation is
`y=-(4x)/(3) +2`

Answer 2

3 = -4/3x + 2

Explanation:

Slope intercept form: y = mx + b

Standard form: Ax + By = C

y = mx + b

4x + 3y = 6

3y = -4x + 6

3y/3 = -4x/3 + 6/3

3 = -4/3x + 2