from the looks of things I am in good company when it comes to having problems solving algebra equations. I hope you can help with this one I have been working on for two days and still don't understand.
I need ordered pairs for y=5x-8 and the y intercept. my pairs are (-4,0) (3,0)which may be wrong. Can you help?
Ordered pairs are pairs of values of x and y that satisfy a given equation or a function. It is presented in the order x,y and eclosed in parentheses, as in (x,y).
For the equation y=5x-8, the value of x=0 gives the value of y=-8, so (0,-8) is an ordered pair.
This ordered pair happens to be the y-intercept, i.e. the point where the line intersects the y-axis, characterized by x=0.
To get other (arbitrary) ordered pairs, substitute different values of x into the equation, and put the pair of x and y values in parentheses.
Thank you for your help. Your explanation has been one of the clearest I have heard!
You're very welcome!
Complete the following ordered pairs for the equation. 4x+5y=-22(_, -2) (2, _)(7, _)
Of course, I can help you with that algebra equation!
To find the ordered pairs for the equation y = 5x - 8, you need to substitute different values of x into the equation and solve for y. This will give you the corresponding y-values for each chosen x-value.
Let's start with finding the y-intercept. The y-intercept is the point where the graph crosses the y-axis, meaning the x-coordinate is 0. To find the y-intercept, we can substitute x = 0 into the equation:
y = 5x - 8
y = 5(0) - 8
y = -8
Therefore, the y-intercept is the point (0, -8).
Now, let's find some ordered pairs by substituting different x-values into the equation y = 5x - 8:
For the first ordered pair (-4, 0), we need to check if it satisfies the equation:
0 = 5(-4) - 8
0 = -20 - 8
0 = -28
Since the equation is not true when x = -4, the point (-4, 0) is not on the graph of y = 5x - 8.
For the second ordered pair (3, 0), let's check if it satisfies the equation:
0 = 5(3) - 8
0 = 15 - 8
0 = 7
Since the equation is not true when x = 3, the point (3, 0) is also not on the graph of y = 5x - 8.
To find valid ordered pairs for the equation, we can choose different x-values and substitute them into the equation to find the corresponding y-values. For example, if we substitute x = 1, we get:
y = 5(1) - 8
y = 5 - 8
y = -3
So the ordered pair (1, -3) is a valid solution.
To find more ordered pairs, you can continue substituting different x-values into the equation and solve for y. The more pairs you find, the better understanding you will have of the graph of the equation y = 5x - 8.