Question

What is -9x+6=18 in slope intercept form ?

Answer 1

y = 3/2 x + 3

Explanation:

-9x + 6y = 18 is in standard form (ax + by = c).

Slope-intercept form isolates the "y" variable. It looks like this:

y = mx + b

Move anything that's not "y" to the right side. Move things in reverse BEDMAS order, using reverse operations of what you want to move.

`-9x + 6y = 18` Move -9x by doing +9x to both sides

`-9x + 9x + 6y = 18 + 9x` Simplify. -9x + 9x will cancel out.

`6y = 18 + 9x` Move the "6" that multiplies with "y".

`(6y)/(6) = (18)/(6) + (9x)/(6)` Divide each term by 6.

`y = 3 + (3x)/(2)` "y" is isolated. Simplify the rest.

`y = (3)/(2)x + 3` Rearrange to match slope-intercept form.