Question
Make a x and y table that has a slope of -5
Answers
GPT 3.5
To create an x and y table with a slope of -5, we need to choose some x-values and then calculate the corresponding y-values using the formula y = mx + b, where m is the slope. Let's select some arbitrary x-values and calculate the corresponding y-values.
Let's choose x-values: -2, -1, 0, 1, and 2.
Using the formula y = -5x + b, we can replace the slope (-5) and solve for the y-intercept (b).
When x = 0, y = -5(0) + b => y = 0 + b => y = b.
So, b = y when x = 0. Let's choose a value for y when x = 0. Let's say y = 3.
Now, we can calculate the y-values for each x-value selected:
When x = -2, y = -5(-2) + 3 = 10 + 3 = 13.
When x = -1, y = -5(-1) + 3 = 5 + 3 = 8.
When x = 0, y = -5(0) + 3 = 0 + 3 = 3.
When x = 1, y = -5(1) + 3 = -5 + 3 = -2.
When x = 2, y = -5(2) + 3 = -10 + 3 = -7.
So, the x and y table with a slope of -5 is:
x | y
-2 | 13
-1 | 8
0 | 3
1 | -2
2 | -7
Let's choose x-values: -2, -1, 0, 1, and 2.
Using the formula y = -5x + b, we can replace the slope (-5) and solve for the y-intercept (b).
When x = 0, y = -5(0) + b => y = 0 + b => y = b.
So, b = y when x = 0. Let's choose a value for y when x = 0. Let's say y = 3.
Now, we can calculate the y-values for each x-value selected:
When x = -2, y = -5(-2) + 3 = 10 + 3 = 13.
When x = -1, y = -5(-1) + 3 = 5 + 3 = 8.
When x = 0, y = -5(0) + 3 = 0 + 3 = 3.
When x = 1, y = -5(1) + 3 = -5 + 3 = -2.
When x = 2, y = -5(2) + 3 = -10 + 3 = -7.
So, the x and y table with a slope of -5 is:
x | y
-2 | 13
-1 | 8
0 | 3
1 | -2
2 | -7