Question

Nour drove from the Dead Sea up to Amman, and her altitude changed at a constant rate. When she began driving, her altitude was 400 meters below sea level. When she arrived in Amman 2 hours later, her altitude was 1000 meters above sea level.
Let y represent Nour's altitude (in meters) relative to sea level after x hours.

Answer 1

If we plot altitude on y- axis and time or duration of travel of x axis ofvthe graph, then. the location of the nour at t=0 will be represented by (0,-400)

at t=2 nour's location will be at the point (2,1000)

since altitude is increasing at a constant rate,

graph will be linear graph represent by

y=mx+b

where slope of the line m = y-y` / x-x`

m= (1000+400)/(2-0)

m=700

and y interrupt b = -400

therefore the equation of the line

y= (700)X - 400

if naur's altitude is representate by 'a' and time 't' then the equation will be

a= 700t - 400