How do you find the slope , y intercept, and x intercept of the line y - 3x=7?

1 Answer
Jun 29, 2017

Answer:

Slope is 3
y-intercept is 7
x-intercept is -7/3

Explanation:

Get the equation into the form #y=mx+b# by adding #3x# to both sides of the equation. You get
#y=3x+7#

The slope is #m#, which is the coefficient of #x#. In this case, it is #3#.

The y-intercept is #b#, which is positive 7 in this case. The y-intercept is when #x=0#, so you could also substitute that into the equation.

The x-intercept is when #y=0#, so use the equation to figure out the x-intercept.

#0=3x+7#
#-7=3x#
#x=-7/3#