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.
[tex]-9x + 6y = 18[/tex] Move -9x by doing +9x to both sides
[tex]-9x + 9x + 6y = 18 + 9x[/tex] Simplify. -9x + 9x will cancel out.
[tex]6y = 18 + 9x[/tex] Move the "6" that multiplies with "y".
[tex]\frac{6y}{6} = \frac{18}{6} + \frac{9x}{6}[/tex] Divide each term by 6.
[tex]y = 3 + \frac{3x}{2}[/tex] "y" is isolated. Simplify the rest.
[tex]y = \frac{3}{2}x + 3[/tex] Rearrange to match slope-intercept form.
