Question

How do you write the equation in slope intercept form given 4x - 9y = -36?

Answer 1

`y = 4/9 x + 4`

Explanation:

The equation of the line in slope-intercept form is y = mx + c

Rearrange 4x - 9y = - 36 into this form.

hence : -9y = - 4x - 36

multiply through by -1 : 9y = 4x + 36

now divide both sides by 9.

`rArr cancel(9 y)/cancel(9) = 4/9 x + 36/9`

`rArr y = 4/9 x + 4 " is in slope-intercept form "`