Use the image to answer the question.

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
negative Start Fraction 5 over 3 End Fraction
−35
negative Start Fraction 3 over 5 End Fraction
53
Start Fraction 5 over 3 End Fraction
35

Answer 1

To determine the slope of the line, we can use the formula:

m = (y2 - y1) / (x2 - x1)

Given that Point A is (1, -2) and Point B is (6, 1), we can plug in the coordinates:

m = (1 - (-2)) / (6 - 1)
m = (1 + 2) / 5
m = 3 / 5

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

The correct response is negative Start Fraction 3 over 5 End Fraction.