What is the slope and y-intercept of the line #2y-6=3x #?

1 Answer
Sep 4, 2017

Answer:

slope: #color(green)(3/2)color(white)("XXXXX")#y-intercept: #color(blue)3#

Explanation:

A linear equation in the slope-intercept form
#color(white)("XXX")y=color(green)mx+color(blue)b#
has a slope of #color(green)m#
and a y-intercept of #color(blue)b#

Given
#color(white)("XXX")2y-6=3x#

We can convert this into slope-intercept form:

#color(white)("XXX")2y=3x+6#

#color(white)("XXX")y=color(green)(3/2)x+color(blue)3#

with a slope of #color(green)(m=3/2)#
and a y-intercept of #color(blue)3#