What is the y intercept for a line with point (12,-7) slope 5/2?

1 Answer
Alan P.
Oct 2, 2015

y-intercept: #(-37)#

Explanation:

Step 1: Write equation in "point-slope form"
The point-slope form for a line with a slope of #m# through a point #(hatx,haty)# is
#color(white)("XXX")(y-haty) = m(x-hatx)#

For the given slope and point, this becomes
#color(white)("XXX")(y+7)=5/2(x-12)#

Step 2: Convert to "slope-intercept form"
The slope-intercept form for a line with slope #m# and y-intercept #b# is
#color(white)("XXX")y=mx+b#

Starting with
#color(white)("XXX")y+7 = 5/2(x-12)#

#color(white)("XXX")y+7 = 5/2x-30#

#color(white)("XXX")y=5/2x-37#
which is the "slope-intercept form with y-intercept -37#

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