Question

Write the equation 1/2x+3/2y-1=0 in slope intercept form

Answer 1

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

rearrange the given equation into the form y = mx + c

multiply all terms by 2 to eliminate the fractions

x + 3y - 2 = 0

subtract (x - 2) from both sides

3y = - x + 2

divide all terms by 3

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