Easy points if you know math. , question attached in picture.

y = 1/2x +6

Step-by-step explanation:

We have a point and a slope.  Therefore we can use the point slope form to create a line

y-y1 = m(x-x1)

y-5 = 1/2(x--2)

y-5 = 1/2(x+2)

Distribute the 1/2

y-5 = 1/2x +1

Add 5 to each side

y-5+5 = 1/2x +1+5

y = 1/2x +6

This is in slope intercept form

the direct variation says that:

then the equation is of the form is given by:

            where k is the constant variation.

from the given table:

consider any value of x and m(x)=y

x = 2 and m(x)=y = 3

substitute these value in [1]; we have;

divide both sides by 2 we get;

⇒

check:

put x = -1 and m(x) = -1.5

substitute in the equation:

-1.5 = -1.5                   true

therefore, the function m(x) represents a direct variation

graph of this function as shown below:

the 2 figures are congruent bc if you reflect abcd over the y axis then over the d axis the figures overlap