What is the slope of the line passing through the following points: # (-3/4 , 2/3) , (1/3, 2/5 ) #?

1 Answer
May 28, 2017

#m=-16/65~~-0.2462#

Explanation:

The slope of a line passing through two points is given by the following slope formula:

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

We can plug in the values of the two points we have been given where

#(x_1,y_1)=(-3/4,2/3)#

and

#(x_2, y_2)=(1/3, 2/5)#

The numerator of the slope formula is

#y_2-y_1=2/5-2/3=2/5(xx3)/(xx3)-2/3(xx5)/(xx5)=6/15-10/15=-4/15#

The denominator of the slope formula is

#x_2-x_1=1/3-(-3/4)=1/3+3/4=1/3(xx4)/(xx4)+3/4(xx3)/(xx3)#

#=4/12+9/12=13/12#

Finally, the slope formula is

#m=(y_2-y_1)/(x_2-x_1)=(-4/15)/(13/12)=-4/15 * 12/13=-48/195=-16/65#