SOLUTION: How do I find the missing coordinate? (3, ) is a solution of y= 4-3x..Trying to help son with homework and I never took algebra in high school. I guess I am learning right along wi

Question 238117: How do I find the missing coordinate? (3, ) is a solution of y= 4-3x..Trying to help son with homework and I never took algebra in high school. I guess I am learning right along with him. Thanks for any assistance.
Found 2 solutions by solver91311, Theo:
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!

An ordered pair, , consists of two values, and . You are given the value and the value is left blank. But you are given a rule that relates the value to any value of , namely:

If you know the value for a given point, the rule will tell you how to calculate the value. Just substitute the given value for and do the indicated arithmetic:

Where

And the desired ordered pair is:

When it is said that a given ordered pair is a solution of a given two-variable linear equation, it means that when the coordinate values from the ordered pair are substituted for the appropriate variables in the equation, the result is a true statement. The solution set of the equation consists of ALL such ordered pairs. Such a set has an infinite number of elements (under ordinary circumstances).

John

Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
the equation is y = 4 - 3x.

the coordinates are (x,y) where x is the x-coordinate and y is the y-coordinate.

since you have (x,y) = (3,...), then the x-coordinate is 3.

substitute x = 3 in your equation and solve for y.

your equation becomes y = 4 - 3*3 = 4 - 9 = -5

your missing coordinate is -5 to make (x,y) = (3,-5)

a graph of your equation looks like:

the correct form of your equation is y = -3x + 4

The higher order term is always to the left of the lower order term.

order has to do with the exponents.

x^2 is higher order than x is higher order than 4

your equation is in the slope-intercept form of the equation for a straight line.

that form is y = mx + b where m is the slope and b is the y-intercept.

the slope of your equation is -3 and the y-intercept is 4

the y-intercept is the value of y when x = 0 which comes out to be 4 as can be seen in the graph.

the slope of -3 means that if x increases 1 unit, then y decreases 3 units.

that's why in your graph, when x = 0, y = 4, and when x = 1, y = 1, and when x = 2, y = -2

if you have the time, go through this beginning, intermediate, and college algebra online tutorial from west texas a&m. It will help you.

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