Question

A construction crew is extending the length of the center line on a highway. The length of the line starts out as 6 meters long, which is represented on a coordinate plane as the point (0,6). The crew works for 20 minutes and the line is now 17 meters long, which is represented as the point (20,17).
Complete the equation that represents the relationship between x, the number of minutes spent working, and y, the length of the line, in meters.
y =_______ x + ______

Answer 1

gradient of line,m=(17-6)/(20-0)=11/20

finding equation of line using a point (20,17)

y-17=11/20(x-20)

y-17=(11/20x)-11

y=11/20x+(17-11)

y=(11/20)*x+6

Answer 2

Gradient of line,m=(17-6)/(20-0)=11/20

finding equation of line using a point (20,17)

y-17=11/20(x-20)
y-17=(11/20x)-11
y=11/20x+(17-11)
y=(11/20)*x+6