What is the slope intercept form of the line passing through #(12,7) # with a slope of #-2/5 #?

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Answer 1 · 2018-03-21T15:29:27

#y=-2/5x+11 4/5#

Slope-intercept form of an equation: y=mx+b, where m is the slope (in this case, #-2/5#) and b is the y-intercept (not given)

Right now, our equation is:
#y=-2/5x+b rarr# We need to find b

Plug in the coordinate point (12, 7). This point must be on the line.

#7=-2/5*12+b rarr# Solve for b

#7=-24/5+b#

#b=11 4/5 rarr# This is our y-intercept

Put that into our unfinished equation above:

#y=-2/5x+11 4/5#