Use the image to answer the question.

Question

A coordinate plane shows four quadrants with both the x-axis and the y-axis ranging from negative 10 to positive 10 in increments of 2. Two points are plotted and joined by a line. The plotted points are as follows: left parenthesis negative 4 comma 7 right parenthesis, left parenthesis 4 comma 8 right parenthesis. A line connects the two plotted points and extends beyond the points in both directions.

Find the slope of the line given its graph.

(1 point)
Responses

1
1

8
8

−1/8
negative Start Fraction 1 over 8 End Fraction

1/8

Answer 1

Bot?

Answer 2

To find the slope of the line given two points, you can use the formula for slope:

\[ \text{slope} (m) = \frac{y_2 - y_1}{x_2 - x_1} \]

For the points \((-4, 7)\) and \((4, 8)\):

• \(x_1 = -4\), \(y_1 = 7\)
• \(x_2 = 4\), \(y_2 = 8\)

Substituting these values into the slope formula gives:

\[ m = \frac{8 - 7}{4 - (-4)} = \frac{1}{4 + 4} = \frac{1}{8} \]

So the slope of the line is \(\frac{1}{8}\).

Among the given responses, the correct answer is:

1/8.

Answer 3

Use the image to answer the question.

A coordinate plane shows four quadrants with both the x-axis and the y-axis ranging from negative 10 to positive 10 in increments of 2. Two points are plotted and joined by a line. The plotted points are as follows: left parenthesis negative 3 comma 1 right parenthesis, left parenthesis 2 comma negative 4 right parenthesis. A line connects the two plotted points and extends beyond the points in both directions.

Find the slope of the line given its graph.

(1 point)
Responses

−56
negative Start Fraction 5 over 6 End Fraction

−1
negative 1

−5
negative 5

1
1

Answer 4

To find the slope of the line connecting the two points \((-3, 1)\) and \((2, -4)\), we use the slope formula:

\[ \text{slope} (m) = \frac{y_2 - y_1}{x_2 - x_1} \]

Here, we have:

• \(x_1 = -3\), \(y_1 = 1\)
• \(x_2 = 2\), \(y_2 = -4\)

Substituting the values into the formula:

\[ m = \frac{-4 - 1}{2 - (-3)} = \frac{-4 - 1}{2 + 3} = \frac{-5}{5} = -1 \]

Thus, the slope of the line is \(-1\).

Among the provided responses, the correct answer is:

−1.