Need help with a mathe problem, please help

[krys0190]

I missed class and i need to figure out how to solve this problem.
The Problem:

Find x such that a straight line passing through (x,3) and (2,y) has slope -2/3.

 

[mmm4444bot]

I missed class and i need to figure out how to solve this problem.

I do not know what information was discussed during your missed class.



Find x

The answer to this question is not just a number.

I mean, they are not asking you to find any particular numerical value for x because it turns out that there are infinite values of x.

The answer to this exercise is an algebraic expression containing the symbol y.

Have you learned the Slope Formula ?

That's the formula we use to determine the slope (m) of a line passing through two known points. The formula uses the x- and y-coordinates of both points.

Here it is:

Given the coordinates of two points on a straight line:

(x1, y1) and (x2, y2)

The Slope Formula is:

m = (y2 - y1)/(x2 - x1)

We can use this formula with the given coordinates (x,3) and (2,y), to write an expression for the slope in this exercise.

And, since the slope is given, replace the symbol m with its value.

-2/3 = (3 - y)/(x - 2)

Do these substitutions make sense, to you ?

Now solve this last equation for x. The expression that results is the answer to this exercise.

(Hint: begin by multiplying both sides by x - 2)

I welcome specific questions.

Cheers ~ Mark