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
NOTE: Type the numerical value in each blank to receive credit for this question. If an answer is negative, type the - symbol in the blank before the number.

(2 points)
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 formula for slope \( m \):

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

Choose two points from the table, for example, the points (0, 12) and (3, 6).

1. Identify the points:
- Point 1: \( (x_1, y_1) = (0, 12) \)
- Point 2: \( (x_2, y_2) = (3, 6) \)

2. Calculate the slope \( m \):

\[
m = \frac{6 - 12}{3 - 0} = \frac{-6}{3} = -2
\]

So, the slope is \(-2\).

Next, to find the y-intercept, we can observe from the table or use the point where \( x = 0 \). The y-intercept \( b \) can be directly seen from the point \( (0, 12) \):

- The y-intercept is \( 12 \).

Thus, we have:

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

So, the final answers are:

The slope is -2.
The y-intercept is 12.