Answer:
y = 4/3x - 3
Step-by-step explanation:
Use this formula to find the slope first.
(y2 - y1) / (x2 - x1)
(x2, y2) --> (-3, -7)
(x1, y1) ---> (3, 1)
Now plug in:
(-7 - 1) / (-3 - 3) = -8 / -6 = 4/3
Now find the y intercept by plugging any points to y= 4/3x + b
I will use (3, 1).
1 = 4/3(3) + b
1 = 4 + b (subtract 4 on both sides)
-3 = b
So the formula is
y = 4/3x - 3
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For this case, the first thing we must do is define variables:
t1: time to drive uphill
t2: time to drive downhill
We now write the system of equations:
t1 = 2 * t2 - 10
t1 - t2 = 65
To rewrite this problem as an equation with a variable, we clear t2 from equation 2:
t2 = t1 - 65
We substitute equation 1 and obtain an equation with a variable:
t1 = 2 * (t1 - 65) - 10
Clearing t1 we have:
t1 = 2t1 - 130 - 10
t1 = 2t1 - 140
2t1 - t1 = 140
t1 = 140 minutes
Answer:
System of equations:
t1 = 2 * t2 - 10
t1 - t2 = 65
Equation with a variable:
t1 = 2 * (t1 - 65) - 10
the drive uphill takes:
t1 = 140 minutes
First term: -9
Common difference: 7
a(n) = -9 + 7(n-1), for n = {1, 2, 3, ... }
Check: what is the first term? let n=1. Then a(1) = -9 + 7(1-1) = -9.
This is correct.
Answer:
y = 2x + 10
Step-by-step explanation:
The rate is 2 and the y coordinate starts at 10. You use the y = mx + b formula