Question

page 16 of 16
Writing Linear Equations in Slope-Intercept Form Quick Check
3 of 53 of 5 Items






Question
Use the table to answer the question.

x
y

−2
1
2 2
10 4
Determine the slope of the line.

(1 point)
Responses

−4
negative 4

14
Start Fraction 1 over 4 End Fraction

4
4

−14
negative Start Fraction 1 over 4 End Fraction
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Answer 1

To determine the slope of the line given the table of values, we can use the formula for slope (m):

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

1. Let's take the first two points from the table: (-2, 1) and (2, 2).
- Here, \( (x_1, y_1) = (-2, 1) \) and \( (x_2, y_2) = (2, 2) \).

2. Now, plug these values into the slope formula:

\[
m = \frac{2 - 1}{2 - (-2)} = \frac{1}{2 + 2} = \frac{1}{4}
\]

Alternatively, we can also check with the third point (10, 4):

Using the second point (2, 2) and the third point (10, 4):

\[
m = \frac{4 - 2}{10 - 2} = \frac{2}{8} = \frac{1}{4}
\]

So, the slope of the line is \(\frac{1}{4}\).

**Answer: Start Fraction 1 over 4 End Fraction**