Question

What are the slope and y-intercept of the linear function that is represented by the table?

x - y
-3 - 18
0 - 12
3 - 6
6 - 0

The slope is _.
The y-intercept is _.

Answer 1

To find the slope and y-intercept of the linear function represented by the given table of values, we can use the points provided.

From the table, we have the following points:
- (-3, 18)
- (0, 12)
- (3, 6)
- (6, 0)

### Step 1: Find the Slope (m)

The slope \( m \) can be calculated using the formula:

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

We can choose any two points. Let's use (0, 12) and (6, 0).

\[
m = \frac{0 - 12}{6 - 0} = \frac{-12}{6} = -2
\]

### Step 2: Find the Y-Intercept (b)

The y-intercept is the value of \( y \) when \( x = 0 \). From the table, we can see that when \( x = 0 \), \( y = 12 \). Therefore, the y-intercept \( b = 12 \).

### Conclusion

The slope is \( -2 \) and the y-intercept is \( 12 \).

Thus, the final answers are:
- The slope is **-2**.
- The y-intercept is **12**.