How do you find the slope and intercept of #-2x - 3y = 1#?

1 Answer
Jan 18, 2016

Answer:

We can convert to the slope intercept form, #y=mx +b# by isolating #y#, and then read the slope (#m#) and intercept (#b#) from the equation.

Explanation:

We can isolate #y# by first moving the #x# term, and then eliminating the coefficient of #y#

#-2x-3y=1#

We can move the x term by adding #2x# to both sides:

#cancel(2x)- cancel(2x)-3y=1+2x#

and clear the #y# coefficient by dividing both sides by #-3#

#(cancel(-3)y)/cancel(-3)=(1+2x)/-3#

and then we can tity and rearrange to get our slope-intercept form:

#y=-2/3x-1/3#

So the slope and intercept are #-2/3# and #-1/3#, respectively.