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
negative 2
2
2
27
Start Fraction 2 over 7 End Fraction
−27
negative Start Fraction 2 over 7 End Fraction
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1 answer
To find the slope of the line connecting the two points \( A(-4, 1) \) and \( B(3, 3) \), we use the formula for slope \( m \):
\[ m = \frac{y_2 - y_1}{x_2 - x_1} \]
Here, \( (x_1, y_1) = (-4, 1) \) and \( (x_2, y_2) = (3, 3) \).
Substituting the coordinates into the slope formula:
\[ m = \frac{3 - 1}{3 - (-4)} = \frac{2}{3 + 4} = \frac{2}{7} \]
So, the slope of the line is:
\[ \frac{2}{7} \]
The correct response is:
\[ \frac{2}{7} \]
