What is the slope of the line passing through the points (−3, 4) and (4, −1)?

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Answer 1 · 2018-05-23T07:09:11

#slope=(4-(-1))/(-3-4)=5/-7=-5/7#

Note that the slope of the line passing through two point given by:

#color(red)[slope=(y_2-y_1)/(x_2-x_1)#

point 1 #(x_1,y_1)=(4,-1)#

point 2 #(x_2,y_2)=(-3,4)#

#slope=(4-(-1))/(-3-4)=5/-7=-5/7#

Answer 2 · 2018-05-23T07:26:10

The slope of the line is #-5/7#.

The formula for finding the slope of the line passing two points is

#m=(y_2-y_1)/(x_2-x_1)#

Here m symbolizes the slope.

Let's consider, #(x_1, y_1)=(-3, 4) and (x_2, y_2)=(4, -1)#

Therefore,

#m=(-1-4)/(4-(-3))#

#m=-5/7#