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
−3/5
negative Start Fraction 3 over 5 End Fraction
5/3
Start Fraction 5 over 3 End Fraction
−5/3
negative Start Fraction 5 over 3 End Fraction
3/5
The slope of the line can be determined by finding the change in y-coordinates divided by the change in x-coordinates between the two points. Point A is (1, -2) and Point B is (6, 1).
Change in y-coordinates: 1 - (-2) = 3
Change in x-coordinates: 6 - 1 = 5
Therefore, the slope of the line is 3/5.
The correct answer is 3/5.