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What is the slope-intercept form of the line that passes through (4, –7) and (13, –1)?

1 Answer

Oct 24, 2015

#y=2/3x-29/3#

Explanation:

Slope #=(Delta y)/(Delta x) = ((-1)-(-7))/(13-4) =6/9 = 2/3#

Slope-point form: #(y-haty) = m(x-hatx)#

Using #(4,-7)# as #(hatx,haty)# (and #2/3# as the slope #m#):
#color(white)("XXX")y+7 = 2/3x - 8/3#

Converting to slope intercept form:
#color(white)("XXX")y = 2/3x -29/3#

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