In a orthonormal system of axes x Ox and y Oy consider the line (d) equation Y =x+5 and the point A (_3;2) a_ verify that A Is a point on the line (d)
b_let B be the intersection of (d) with y oy calculate the coordination of B
c_plot the points A & B Draw the line(d) ​

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 forst and 3rd

step-by-step explanation:

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