Finding slope of line containing two points?

Find the slope of the line containing the following two points:

#ƒ(1/10)=-4 and ƒ(-1/5)=-1/5#

1 Answer
Jim G.
Dec 2, 2017

#"slope "=-38/3#

Explanation:

#"to calculate the slope m given two points"#

#"use the "color(blue)"gradient formula"#

#color(red)(bar(ul(|color(white)(2/2)color(black)(m=(y_2-y_1)/(x_2-x_1))color(white)(2/2)|)))#

#"let "(x_1,y_1)=(1/10,-4)" and "(x_2,y_2)=(-1/5,-1/5)#

#m=(-1/5-(-4))/(-1/5-1/10)#

#color(white)(m)=(-1/5+4)/(-3/10)=19/5xx-10/3=-38/3#

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