3x-6y=18 slope intercept form

Question

asked Oct 14, 2021 175k views

2 Answers

Brian Beuning · Answer 1 · 2021-10-20T20:09:08+0000

Answer:

y=(1)/(2)x-3

Explanation:

Start by writing the equation out as it is given in the question (in this case, in standard form).

3x-6y=18

Next, subtract
from both sides.

$3x-3x-6y=18-3x\\-6y=18-3x$

Switch around the
and the
-3x .

-6y=-3x+18

Finally, divide the equation by
to get rid of the
y-variable coefficient, which is
.

$(-6y)/(6)=(-3x+18)/(-6)\\y=(1)/(2)x-3$

As shown in that last step, the equation is slope intercept form is:
y=(1)/(2)x-3