How do you find the slope and y-intercept given #x+3y = -6#?

Question

4046 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2018-05-23T02:01:17

Convert the equation to the # y = mx + b # form

in the # y = mx +b# for

m - = the slope think m mountain ski slope.
b = the y intercept think b beginning where x = 0

Move the x to the right side of the equation.

# x - x + 3y = -x + -6# The result is

# 3y = - x + -6 #

Divide both sides by 3 to change 3y to 1y

# 3y/3 = -1x/3 + -6/3# This gives

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

m the slope = # -1/3#

b the y intercept = # -2#

Answer 2 · 2018-05-23T02:08:28

#m=-1/3#

y-int = -2

Slope intercept form is:

#y=color(red)(m)x+color(blue)(b)#

#color(red)(m) = #slope
#color(blue)(b) =#y-int

#x+3y = -6#

#3y =-x -6#

#y =color(red)(-1/3)x color(blue)(-2)#

#m=-1/3#

y-int = -2