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Answer:
The coordinates of D is (-4,-9)
Step-by-step explanation:
Given
C = (2,7)
<em>M=(-1,-1) ----- Missing part of question</em>
Required
Determine the coordinates of D
<em>Let the coordinates of D be (x₂,y₂)</em>
<em>We'll solve this question using mid point formula;</em>
<em></em>
<em></em>
<em>Where</em>
and 
Put these values in the formula

By comparison;
and 

Multiply both sides by 2

Subtract 2 from both sides



Multiply both sides by 2

Subtract 7 from both sides


<em>Hence, the coordinates of D is (-4,-9)</em>
If y varies directly with x, means that they can be modeled by a linear equation, lets choose a line with 0 y intercept, that is:
y = mx + b
y = mx
where m is the slope of the line, now we plug in the data we have:
y = mx
20/3 = m(30)
solving for m:
m = (20/3)(1/30)
m = 20/90
m = 2/9
so the line equation, or function modeling the y and x relationship is:
y = (2/9)x
Its the second one
Point slope formula is:
Y - (y1) = m ( x - (x1) )
M is the slope so -5/7
( 6 is (x1) , 2 is (y1) )
Y-2=-5/7(x-6)