Answer: D
Explanation:
The equation of a line in the point slope form is expressed as
y - y1 = m(x - x1)
where
m represents slope
x1 and y1 represents coordinates of the point that the line passes.
From the information given, the equation of the path of the old route is
y = 2x/5 - 4
Recall, the equation of a line in the slope intercept form is expressed as
y = mx + c
By comparing both equations,
slope, m = 2/5
If two lines are parallel, it means that they have the same slope. Given that the new route is to be parallel to the old route and will go through point (Q, P), then
m = 2/5
x1 = Q
y1 = P
The equation of the new route be
y - P = 2/5(x - Q)
Answer:
A' = (5,7)
Step-by-step explanation:
So, we start with the original point A at (3,1), that means x = 3 and y = 1.
We move it 2 units to the right... so we're moving along the X-axis... and we're moving to the right.. so we're increasing the value of x. That means starting with x = 3, we go 2 more units... we then get to x = 5.
In the same way, we move 6 units up... so we move along the Y-axis. We go up, so we also increase the value of y. Starting with y = 1, we move up by 6 units... so we are now at y = 7.
A' point is then at (5,7).
The and would be y=-1/3x-5 because to find slope you would use the equation y2-y1 divided by x2-x1 and find the slope of -4/12 which simplifies to -1/3 and the y-int is -5 so you would just plug that in.
Data Set
20, 25, 30, 35, 40, 50, 50, 60, 75, 80, 100
Mean Absolute Deviation (MAD): 19.454545454545 one decimal 19
Mean x¯¯¯ 51.363636363636
Median x˜ 50
Mode 50
Range 80
Minimum 20
Maximum 100
Count n 11
Sum 565
