Answer:
The coordinate of point M = (-6,7)
Explanation:
The Median of a triangle is a line segment from a vertex to the midpoint of the opposite side of a triangle.
Given: 
has vertices T(3,6) , R(-3,10) and E(-9,4).
Here, line TM is a median of triangle TRE where M is the midpoint of RE.
The midpoint of M of the line segment from R(-3,10) to E(-9,4) is;
M = 
Therefore, the coordinate of point M is, (-6,7).
If "a" and "b" are two values of x-coordinate, and "m" is the midpoint between them, it means the distance from one end to the midpoint is the same as the distance from the midpoint to the other end
... a-m = m-b
When we add m+b to this equation, we get
... a+b = 2m
Solving for m gives
... m = (a+b)/2
This applies to y-coordinates as well. So ...
... The midpoint between (x1, y1) and (x2, y2) is ((x1+x2)/2, (y1+y2)/2)
_____
Jennifer had (x1, y1) = (-4, 10) and (x2, y2) = (-2, 6). So her calculation would be
... midpoint = ((-4-2)/2, (10+6)/2) = (-6/2, 16/2) = (-3, 8)
Brandon had (x1, y1) = (9, -4) and (x2, y2) = (-12, 8). So his calculation would be
... midpoint = ((9-12)/2, (-4+8)/2) = (-3/2, 4/2) = (-1.5, 2)
Answer:
y = -3/5x - 12/5
Step-by-step explanation:
The equation I'm going to give is going to be in slope-intercept form. If you need it in point-slope, I can do so in an edit or the comments.
Slope-intercept form is: <em>y = mx + b</em> where m is the slope, b is the y-intercept.
So let's plug in our given slope:
y = -3/5x + b
Using this, we now plug in our x- and y-coordinates from the given point to solve for b.
-3 = -3/5(1) + b
-3 = -3/5 + b
Add 3/5 to both sides to isolate variable b.
-3 + 3/5 = b
-15/5 + 3/5 = b
-12/5 = b
Plug this new info back into the original equation and your answer is
y = -3/5x - 12/5
Step-by-step explanation:
Y is directly proportional to X" can be rewritten as a mathematical expression of the form Y = KX
"K" is the constant of proportionality and must be determined from the initial information.
If Y = 2/3 when X=1/12means 2/3=1/12
K = 2/3÷1/12 = 8
Now that we know the value of K, we can use it to calculate the value of Y when X=1/2
Y = (8)(1/2) = 8/2=4
Y=4
