What is the slope of the line passing through the following points: # (1,4), (-2,-5) #?

2 Answers
Mar 10, 2018

#"slope "=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)=(1,4)" and "(x_2,y_2)=(-2,-5)#

#rArrm=(-5-4)/(-2-1)=(-9)/(-3)=3#

Mar 10, 2018

#m=3#

Explanation:

We know that ,the slope of the line passing through #A(x_1,y_1)and B(x_2,y_2) #, is
#m=(y_2-y_1)/(x_2-x_1) #,
Here,#A(1,4)andB(-2,-5)#
#:.m=(-5-4)/(-2-1)=(-9)/(-3)=3#