Answer:
Point slope form: -9 = m(3)
Slope intercept form: y = -3x + 30
At x = 0, his delivery time was 30 minutes. It decreased by 3 minutes per day.
Step-by-step explanation:
We have 2 points to calculate the line.
(3, 21) x1 y1
(6, 12) x2 y2
First, we need to calculate the slope.
m =
m =
m = -3
Point slope form is:
y - y1 = m(x - x1)
So for our case:
-9 = m(3)
And slope intercept form is:
y = mx + b
We need to solve for the y intercept (b)
y = -3x + b --- enter the slope
21 = -3(3) + b --- enter in any point on the line for x and y
21 = -9 + b
b = 30 --- solve for b
Now our slope intercept form of the line is:
y = -3x + 30
At x = 0, his delivery time was 30 minutes. It decreased by 3 minutes per day.
Okay to find the perpendicular bisector of a segment you first need to find the slope of the reference segment.
m=(y2-y1)/(x2-x1) in this case:
m=(-5-1)/(2-4)
m=-6/-2
m=3
Now for the the bisector line to be perpendicular its slope must be the negative reciprocal of the reference segment, mathematically:
m1*m2=-1 in this case:
3m=-1
m=-1/3
So now we know that the slope is -1/3 we need to find the midpoint of the line segment that we are bisecting. The midpoint is simply the average of the coordinates of the endpoints, mathematically:
mp=((x1+x2)/2, (y1+y2)/2), in this case:
mp=((4+2)/2, (1-5)/2)
mp=(6/2, -4/2)
mp=(3,-2)
So our bisector must pass through the midpoint, or (3,-2) and have a slope of -1/3 so we can say:
y=mx+b, where m=slope and b=y-intercept, and given what we know:
-2=(-1/3)3+b
-2=-3/3+b
-2=-1+b
-1=b
So now we have the complete equation of the perpendicular bisector...
y=-x/3-1 or more neatly in my opinion :P
y=(-x-3)/3
Answer:50.27 centimeters
Step-by-step explanation: