It would be a pleasure to get help thank you! :)

Step-by-step explanation:

To start, use the point slope formula:

5) slope (m) = 3; (1, 1)

Plugin the numbers.

Now you need to solve the formula for y to get the formule in slope-intercept form,

Do the distributive property first.

Now add 1 to both sides

The equation is now in slope intercept form, which means you can graph the line.

Begin with b (y-intercept). Plot -2 on the y-axis.

Stay on that point and then you will move with m (slope; rise/run), which is 3. Rewrite it as a fraction so you have rise/run. 3/1

From -2 on the y-axis, you will go up 3 and right 1 since it is a positive slope. If it were negative, you would go down 3 and right 1.

See picture of the graph.

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: