What is an exquation of the line in slope-intercept form if m=2 and the y-intercept is (0,3)

y = mx + b

m = slope

b = y-intercept

The equation is y = 2x + 3

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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:

it is x=-4

step-by-step explanation: