Question #0bbd5

1 Answer
sente
Nov 2, 2016

The slope is #2# and the #y#-intercept is #-3#.

Explanation:

The slope-intercept form of the equation of a line is #y=mx+b#. A line with this equation has a slope of #m# and a #y#-intercept of #b#.

(For why this is the case, consider that increasing #x# by #1# increases #y# by #m#, making #m/1=m# the slope, and setting #x=0# shows us that the #y#-intercept is at #(0, b)#)

For the given equation, we use algebraic manipulation to put it into slope-intercept form.

#y-2x = -3#

#=> y-2x+2x = -3+2x#

#:. y = 2x-3#

As this is slope-intercept form with #m=2# and #b=-3#, the slope is #2# and the #y#-intercept is #-3#.

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