Step-by-step explanation:
in essence, these 2 points are the Hypotenuse of a right-angled triangle. the legs are the coordinate differences between the 2 points creating the 3rd point of that triangle at (-10, 7) : the x coordinate of one point, and the y coordinate of the other.
now, we are looking for the midpoint. this midpoint cuts the original line/hypotenuse in half creating a scaling factor of 1/2.
when we create now a similar triangle based on that "half- Hypotenuse", we need to use the same scaling factor also on the legs (the coordinate differences).
so, when we cut the coordinate differences also in half, we get the coordinates for the midpoint on the main line.
xm, ym are the coordinates of the midpoint.
xm = (x1 + x2)/2 = (-10-3)/2 = -13/2 = -6.5
ym = (y1 + y2)/2 = (-6+7)/2 = 1/2 = 0.5
so, the midpoint is (-6.5, 0.5)
5(x+2) turns into 5x+10 where 5x+2 is already in its simplified form so to write it as 5x+2 instead would make you get the wrong answer.
I believe the anwser is l
He is wrong...
2 1/2 + 3 3/5 = 97/20
Simplified, I believe the answer is 4 17/20
Answer:
-3/5x + y = - 26/5
Step-by-step explanation:
First, I put everything in slope-intercept form, just because it's more simple for me.
y = 3/5x + b
Since we don't have b, we can use the coordinate they give us to solve for it.
-4 = 3/5 (2) + b
-26/5 = b
y = 3/5x - 26/5
Now, we can move the variables around to fit the form:
Ax + By = C
-3/5x + y = - 26/5
I hope this helped!
