Question

identify the x and y intercept from each table
x
-4,-2,0,2,4
y
-8,-4,0,4,8

Answer 1

so what is the slope

Answer 2

To identify the x and y intercepts from the given sets of values for \(x\) and \(y\):

1. **X-Intercept**: The x-intercept occurs where \(y = 0\). From your table:
- When \(y = 0\), the corresponding \(x\) value is \(0\). Thus, the x-intercept is at the point \((0, 0)\).

2. **Y-Intercept**: The y-intercept occurs where \(x = 0\). From your table:
- When \(x = 0\), the corresponding \(y\) value is also \(0\). Thus, the y-intercept is at the point \((0, 0)\).

In conclusion:
- The x-intercept is \((0, 0)\).
- The y-intercept is \((0, 0)\).

Since both intercepts are the same, the point of intersection on the graph is at the origin \((0, 0)\).

Answer 3

To find the slope of the line represented by the sets of values given in the tables, you can use any two points from the table.

From your values:
- Points: \((-4, -8)\), \((-2, -4)\), \((0, 0)\), \((2, 4)\), \((4, 8)\)

Let's take the points \((-4, -8)\) and \((4, 8)\) to calculate the slope (m).

The formula for slope \(m\) is:

\[
m = \frac{y_2 - y_1}{x_2 - x_1}
\]

Using the points \((-4, -8)\) [which we can call \((x_1, y_1)\)] and \((4, 8)\) [which we can call \((x_2, y_2)\)], we plug the values into the formula:

- \(x_1 = -4\)
- \(y_1 = -8\)
- \(x_2 = 4\)
- \(y_2 = 8\)

Now substitute into the slope formula:

\[
m = \frac{8 - (-8)}{4 - (-4)} = \frac{8 + 8}{4 + 4} = \frac{16}{8} = 2
\]

Thus, the slope of the line is \(2\).