Question

Put the following equation of a line into slope-intercept form, simplifying all fractions.

4y−6x=24

Answer 1

`y = (3)/(2)x + 6`

Explanation:

Rearranging the equation:

`4y = 6x + 24`

The coefficient of y has to be '+1' for the above equation to be considered as the slope-intercept form.

Dividing both sides of the equation by '4':

`(4)/(4)y = (1)/(4)(6x + 24)`

Expand the brackets by applying the Distributive Law:

`(4)/(4)y = (6)/(4)x + (24)/(4)`

`y = (6)/(4)x + 6`

Divide the numerator and the denominator present in the coefficient of x by the Highest Common Factor '2':

`y = (3)/(2)x + 6`