How do you find the slope and intercept of #y=3x+4#?

1 Answer
Dec 15, 2015

Answer:

Slope: #3#
y-intercept: #4#
x-intercept: #(-4/3)#

Explanation:

Any linear equation in the form
#color(white)("XXX")y=mx+b#
is said to be in slope-intercept form with slope #m# and y-intercept #b#

#y=3x+4# is in this form
So the slope is #3# and the y-intercept is #4#

To find the x-intercept, set #y=0# and solve for #x#
#color(white)("XXX")0=3x+4#

#color(white)("XXX")-3x=4#

#color(white)("XXX")x=-4/3#