When you know the coordinates of a point and the slope of a line, you can use the formula
in your case, 
and 
, so you have
It is convenient to do part b first, then use that result to do part a.
b. For some pair of points (x1, y1) and (x2, y2), you want to find a point (a, b) such that (a, b) - (x1, y1) = (x2, y2) - (a, b). That is, the differences of coordinates from one end to the center are the same as the differences from the center to the other end.
Adding (a, b) to the above equation gives
2(a, b) - (x1, y1) = (x2, y2)
Adding (x1, y1) then gives
2(a, b) = (x1, y1) + (x2, y2)
Finally, dividing by 2 gives a formula for (a, b):
(a, b) = ((x1, y1) + (x2, y2))/2
The midpoint is the average of the end points.
a. Using the result from part b, the midpoint is
midpoint = ((2, 3) + (6, 7))/2 = (8, 10)/2
midpoint = (4, 5)
Answer:
false
Step-by-step explanation:
3x+4y=24 multiplied by 2 equals: 6x+8y=48
if you subtract 6x+8y=24 from 6x+8y=48, you get 0=24, which is not true. Therefore the statement is false.
Answer:
3/8 < 3/6
This is because, when the common denominator (24) is found, the fractions are 9/24 (red) and 12/24 (yellow).
