Question

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

Answer 1

Answer:

y = 3/2 x + 3

Step-by-step 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".

$\frac{6y}{6} = \frac{18}{6} + \frac{9x}{6}$                     Divide each term by 6.

$y = 3 + \frac{3x}{2}$                        "y" is isolated. Simplify the rest.

$y = \frac{3}{2}x + 3$                        Rearrange to match slope-intercept form.