Answer:
[tex]y=3x-7[/tex]
Step-by-step explanation:
Let x be the number of hours after morning.
We have been given that on a very cold morning, it was -7°F. As the day went on, the temperature rose 3 degrees each hour.
Since the slope-intercept form of an equation is: [tex]y=mx+b[/tex], where m represents slope and b represents y-intercept.
As the temperature is increasing 3 degrees with each passing hour, so slope of our line will be 3 as slope represents rate of change.
The initial temperature was -7°F, so -7 will be our y-intercept.
Upon substituting m=3 and b=-7 in slope intercept form of equation we will get,
[tex]y=3x-7[/tex]
Therefore, the equation [tex]y=3x-7[/tex] shows the temperature over time.
