find the slope-intercept for mof the line passingthrough (5,20) and (0,5)

Question

find the slope-intercept for mof the line passingthrough (5,20) and (0,5)

Answer 1

Slope (m) is defined as the change in y over the change in x. 

 

m=(y1-y2)/(x1-x2)

m=(20-5)/(5-0)

m=15/5

m=3

 

y=mx+b

 

y=3x+b

 

if we substitute either one of the points into this equation we get b=5

 

y=3x+5

 

you need to check your work by plugging each point into this equation. They should both satisfy this equation yielding truth.