Answer:
4 miles per hour
Step-by-step explanation:
We can divide 45 minutes by 3 to get 15 minutes:
So that is 1 mile in 15 mins
Then we multiply both sides by 4 to get 60 mins:
4 miles in 60 mins
So his rate was 4 miles per hour
Slope Formula: y2 - y1 / x2 - x1
(m and slope represent the same quantity)
m = 1 - - 5 / -4 - 0
m = 1 + 5 / -4
m = 6 / -4
m = -3/2
Now that we know the slope, we can plug the slope and one of our points into slope-intercept form (y = mx + b) and solve for b. I will be using the point (-4,1).
y = -3/2x + b
1 = -3/2(-4) + b
1 = 6 + b
b = -5
In point form, the y-intercept is (0, -5).
Therefore, to get the equation all we need to do is plug in our slope and b-value to slope-intercept form.
Equation: y = -3/2 x - 5
To check the point (-6, -14) we plug it into our equation and see if the two sides are equal.
-14 = -3/2(-6) - 5
-14 = 9 - 5
-14 = 4
-14 does not equal 4, therefore the point is NOT on the line.
Hope this helps!
Answer:
y = 3x - 5
Step-by-step explanation:
I used my calculator so that it would be faster.
But if you want work you have to find the slope then plug in.
To find the slope use points (1, -2) and (2, 1) use this formula 
Plug the points in 
So your slope is 3
NOw Plug In (1, -2)
-2 = 3(1) + b (b represents the y- intercept)
-2 = 3 + b (subtract 3 on both sides)
-5 = b
The final equation is y = 3x - 5
Hope this helps ya!!
Answer:
2.5 hours after you start
Step-by-step explanation:
You are driving 14 mph faster than your friend, so will make up the 35 mile head start in 35/14 = 2.5 hours. You will meet 162.5 miles from your starting location. If that is Philadelphia, you will have 37.5 miles to go.
You will catch up after 2.5 hours of driving.
_____
You will arrive about 9 1/2 minutes ahead of your friend.
