Question

Identify the slope and the y intercept from the table:

0 6
3 12
a
m=6 b=2

b
m=(1/2) b=6

c
m=2 b=6

Answer 1

To identify the slope (m) and y-intercept (b) from the provided table, we should first determine if there's a specific linear equation represented by the points given. The table appears to list coordinates:

- (0, 6)
- (3, 12)

Let's analyze these coordinates.

1. **Finding the slope (m)**:
The slope formula is:

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

Using the points (0, 6) as \((x_1, y_1)\) and (3, 12) as \((x_2, y_2)\):

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

2. **Finding the y-intercept (b)**:
The y-intercept is simply the value of \(y\) when \(x = 0\). From the first coordinate (0, 6), the y-intercept \(b\) is:

\[
b = 6
\]

Thus, we determine that:
- The slope \(m\) is 2.
- The y-intercept \(b\) is 6.

This matches with option **c** from your list:
- **m = 2**, **b = 6**.