How do you write the point-slope form of an equation for the line through points at (8,4) and (7,6)?

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Answer 1 · 2016-07-31T05:47:06

Compute the slope first using the given two points, then use one of the points.
#y-y_1=m(x-x_1)#

#color(blue)(y-6=-2(x-7))#

Given:
#P_1(x_1, y_1)=(7, 6)#
#P_2(x_2, y_2)=(8, 4)#

Compute slope #m#

#m=(y_2-y_1)/(x_2-x_1)=(4-6)/(8-7)=(-2)/1=-2#

Point-Slope Form:

#y-y_1=m(x-x_1)#

#color(blue)(y-6=-2(x-7))#

God bless.....I hope the explanation is useful.