The point slope form or the equation of a line is :
y - y1 = m(x - x1)
First find the slope between the two coordinates:
m = y2-y1/x2-x1
m = 0-4 / 2-(-6)
m = -4 / 8
m = - 1/2
Now create the point slope form / equation of a line:
y - 4 = - 1/2(x - (-6))
y - 4 = - 1/2(x + 6)
OR you can have
y - 0 = - 1/2(x - 2)
Answer:
-0.8/ -4/5
Step-by-step explanation:
5(m+1) -1 = 0
5m +5 -1 = 0
5m +4 =0
5m= -4
m= -4/5
Answer: the rate uphill is 6 mph.
The rate downhill is 10 mph
Step-by-step explanation:
Let x represent the rate at which the jogger ran uphill.
The jogger runs 4 miles per hour faster downhill than uphill. This means that speed at which the jogger ran downhill is (x + 4) mph
Time = distance/speed
if the jogger can runs 5 miles downhill, then the time taken to run downhill is
5/(x + 4)
At the same time, the jogger runs 3 miles uphill. It means that the time taken to run uphill is
3/x
Since the time is the same, it means that
5/(x + 4) = 3/x
Cross multiplying, it becomes
5 × x = 3(x + 4)
5x = 3x + 12
5x - 3x = 12
2x = 12
x = 12/2
x = 6
The rate downhill is 6 + 4 = 10 mph
