Answer:
Step-by-step explanation:
All lines in the plane are of the form
y = mx+b
<u><em>The intersection with the Y-axis is obtained by replacing x with 0 </em></u>
<u><em>The intersection with the X-axis is obtained by replacing y with 0 </em></u>
If we want that the Y-intercept = -5, then
-5 = m(0)+b
So b = -5
Our temporal equation is then
y = mx-5
If we want that the X-intercept = 7, then
0 = m(7)-5
7m = 5
m = 5/7
So our final equation is
Attached is the graph of the line
Step-by-step explanation:
Let average velocity of outgoing trip = x mph
The average velocity on the return trip is 15 miles per hour slower than the average velocity on the outgoing trip.
Average velocity of return trip = (x-15) mph
Distance to vacation place = 420 miles
Distance to vacation place = Time for outgoing trip x average velocity of outgoing trip
Distance to vacation place = Time for return trip x average velocity of return trip
We have total time T = t₁ + t₂
That is
Time required to complete the round trip where x is average velocity on the outgoing trip.