Complete these ordered pairs for this equation. (0, ), (-2, ), (4, ) y=2x
1 answer:
Answer:
Part 1) The ordered pair is (0,0)
Part 2) The ordered pair is (-2,-4)
Part 3) The ordered pair is (4,8)
Step-by-step explanation:
we know that
A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form or
In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin
In this problem we have a direct variation
Complete the ordered pairs
Part 1) we have (0,?)
For x=0
Substitute in the equation and solve for y
therefore
The ordered pair is (0,0)
Part 2) we have (-2,?)
For x=-2
Substitute in the equation and solve for y
therefore
The ordered pair is (-2,-4)
Part 3) we have (4,?)
For x=4
Substitute in the equation and solve for y
therefore
The ordered pair is (4,8)
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Answer:
(x, y) = (5, -2)
Step-by-step explanation:
A graphing calculator provides a quick and easy way to find the solution.
_____
There are several other ways to solve these equations. Or you can estimate where the answer might be using logic like this:
The intercepts of the first equation are ...
- x-intercept = 26/4 = 6 1/2
- y-intercept = -26/3 = -8 2/3
So the graph of it will form a triangle with the axes in the 4th quadrant.
The intercepts of the second equation are ...
- x-intercept = 11/3 = 3 2/3
- y-intercept = 11/2 = 5 1/2
So the graph of it will form a triangle with the axes in the 1st quadrant. The x-intercept of this one is less than the x-intercept of the first equation, so the two lines must cross in the 4th quadrant.
The only 4th-quadrant answer choice is (5, -2).
