I am very confused as to how to make a table with the range of values I have this y=-1/2x-4
my table layout is similar to this;
x_y_(x,y)
?_-1_?
-2_?_?
?_-4_?
2_?_?
8_?_?
**note** I used the underscore to separate the x,y and X,y to kind of make a chart.
Could someone please explain how I would do this.
Thank you
When given x or y, solve the equation for the other.
How do you do that?
To create a table with the given equation y = -1/2x - 4, you need to substitute different values of x into the equation and solve for y. Let's go step by step:
1. Start by substituting the first value of y, which is -1, into the equation. So, we have -1 = -1/2x - 4.
2. Now, isolate the term with x by adding 4 to both sides: -1 + 4 = -1/2x.
Simplifying, we get 3 = -1/2x.
3. Next, multiply both sides of the equation by 2 to eliminate the fraction: 2 * 3 = -1x.
Therefore, -6 = x.
4. Now, substitute the value of x (which is -6) into the equation to find the corresponding value for y: y = -1/2(-6) - 4.
Simplifying, we have y = 3 - 4, which gives y = -1.
5. Fill in the values in the table:
x | y | (x,y)
-------|-----|-------
-6 | -1 | (-6, -1)
-2 | ? | ?
? | -4 | ?
2 | ? | ?
8 | ? | ?
To fill in the remaining values, repeat the steps above using the respective x values. Substitute each x value into the equation, solve for y, and fill in the table accordingly.
For example, if we substitute -2 into the equation, we have -2 = -1/2x - 4. Solve for y to fill in the table.
I hope this helps! Let me know if you have any further questions.