Find and intercept the slope of the line

Question

A marathon runner runs 10 miles by 3:00 pm and 25 miles by 4:30 pm. Graph the line that represents her distance run. Find and intercept the slope of the line

Answer 1

Hi Ky,

 

You have two points (3, 10) and (4.5,25)

 

Using these two points you can find the slope and then the equation of the line

 

slope = m = (y-y)/(x-x)

 

m = (25-10)/(4.5-3)

 

m = 15/1.5

 

m = 10

 

y = mx + b (this is the slope intercept form of a line)

 

y =10x +b  (we need to find b, we substitute one of the pts and solve for b)

 

10 = 10(3) + b

 

10 -30 = b

 

b = -10

 

equation

 

y = 10x - 20

 

hope this helps