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 1 comma negative 2 right parenthesis. Point B is plotted at left parenthesis 6 comma 1 right parenthesis.

Determine the slope of the line.

(1 point)
Responses

53
Start Fraction 5 over 3 End Fraction

35
Start Fraction 3 over 5 End Fraction

−35
negative Start Fraction 3 over 5 End Fraction

−53
negative Start Fraction 5 over 3 End Fraction
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1 answer

To determine the slope of the line that connects points A(1, -2) and B(6, 1), we use the formula for slope: (y2 - y1) / (x2 - x1).

Substitute the coordinates of the points into the formula:
(1 - (-2)) / (6 - 1) = (3) / (5) = 3/5

Therefore, the slope of the line is 3/5.

Answer: Start Fraction 3 over 5 End Fraction