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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

−2/7
negative Start Fraction 2 over 7 End Fraction

2/7
Start Fraction 2 over 7 End Fraction

2
2

−2
negative 2
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1 answer

To determine the slope of the line connecting points A and B, we use the formula for slope (\(m\)):

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

Given the coordinates:

  • Point A: \(A(-4, 1)\) \(\rightarrow (x_1, y_1) = (-4, 1)\)
  • Point B: \(B(3, 3)\) \(\rightarrow (x_2, y_2) = (3, 3)\)

Now, plug the coordinates into the slope formula:

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

Calculating the differences:

\[ m = \frac{2}{3 + 4} \] \[ m = \frac{2}{7} \]

Thus, the slope of the line is:

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

The correct response is:

Start Fraction 2 over 7 End Fraction