Question

Find the slope and y-intercept using the table
X -3 -2 -1
Y 16 7 -2

The slope is *blank*

The y-intercept is *blank*

Use the options bellow

A (-11,0)

B (0,-11)

C -1/9

D (-1,-2)

E 9

F 1/9

G -9

H (11,0)

Use the options provided

Answer 1

To find the slope and y-intercept from the given table of values, we can use the coordinates provided in the table:

| X | Y |
|----|----|
| -3 | 16 |
| -2 | 7 |
| -1 | -2 |

Using two points from the table, let's take the points (-3, 16) and (-2, 7) to calculate the slope (\(m\)) using the formula:

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

Now, substituting the points into the formula:

Let \( (x_1, y_1) = (-3, 16) \) and \( (x_2, y_2) = (-2, 7) \):

\[
m = \frac{7 - 16}{-2 - (-3)} = \frac{-9}{-2 + 3} = \frac{-9}{1} = -9
\]

Now we have the slope \(m = -9\).

Next, we need to find the y-intercept (b) of the equation of the line in the form \(y = mx + b\). We can use any of the points and substitute \(m\) and the \(x\) and \(y\) values into the equation to find \(b\).

Using the point (-2, 7):

\[
7 = -9(-2) + b
\]

\[
7 = 18 + b
\]
\[
b = 7 - 18 = -11
\]

Now we have the slope and the y-intercept:

- The slope is \(-9\)
- The y-intercept is \(-11\)

Using the options provided:

- The slope is **G -9**
- The y-intercept is **B (0, -11)**

So, the final answer is:
- The slope is **G -9**
- The y-intercept is **B (0, -11)**