How do you find the slope of the line passing through the points A(4, 2) and B(-2, 4)?

2 Answers
Jim G.
Mar 9, 2018

#"slope "=-1/3#

Explanation:

#"to calculate the slope m use the "color(blue)"gradient formula"#

#•color(white)(x)m=(y_2-y_1)/(x_2-x_1)#

#"let "(x_1,y_1)=(4,2)" and "(x_2,y_2)=(-2,4)#

#rArrm=(4-2)/(-2-4)=2/(-6)=-1/3#

Shiva Prakash M V
Mar 9, 2018

#m=-1/3#

Explanation:

Given:
#A-=(4,2)#
#B-=(-2,4)#
Slope of the line connecting the two points
#A-=(x_1,y_1)" and "B-=(x_2,y_2)" is given by"#
#m=(y_2-y_1)/(x_2-x_1)#
Here, we have
#x_1=4#
#y_1=2#
#x_2=-2#
#y_2=4#
#y_2-y_1=4-2#
#y_2-y_1=2#
#x_2-x_1=-2-4#
#x_2-x_1=-6#
Now,
#m=(y_2-y_1)/(x_2-x_1)=2/-6#
#m=-1/3#

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