Writing Linear Equations in Slope-Intercept Form Quick Check

Question

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Question
Use the image to answer the question.

An illustration shows a coordinate plane with four quadrants. The x and y axes extend from negative 10 to 10 in increments of 1. Two points are plotted on the graph. An upward slanting line connects the two points. Point A is plotted at coordinates left parenthesis negative 4 comma 1 right parenthesis. Point B is plotted at left parenthesis 3 comma 3 right parenthesis.

Determine the slope of the line.

(1 point)
Responses

27
Start Fraction 2 over 7 End Fraction

2
2

−27
negative Start Fraction 2 over 7 End Fraction

−2
negative 2

Answer 1

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

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

Here, we can assign:

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

Now, substituting the coordinates into the formula:

\[ m = \frac{3 - 1}{3 - (-4)} = \frac{2}{3 + 4} = \frac{2}{7} \]

Thus, the slope of the line is:

\[ \frac{2}{7} \]

So the correct answer is:

Start Fraction 2 over 7 End Fraction