A line goes through the points (4, 5) and (2, -6). Write the equation of the line in slope-intercept form. Show your work for full credit. (How did you go from those two points to having the equation in slope-intercept form? Or, how did you go form having the equation in point-slope form [above in #1] to slope- intercept form?). Do not draw graphs, I want you to complete this problem algebraically (Using numbers, variables, and/or symbols). C

the answer is y=3x-3

Step-by-step explanation:

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1 is b and 2 is d

step-by-step explanation:

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: