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

A) 5/3
Start Fraction 5 over 3 End Fraction

B) −3/5
negative Start Fraction 3 over 5 End Fraction

C) 3/5
Start Fraction 3 over 5 End Fraction

D) −5/3

Answer 1

C) 3/5

To calculate the slope of a line, you can use the formula:

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

Where:
(x1, y1) = (1, -2) (coordinates of Point A)
(x2, y2) = (6, 1) (coordinates of Point B)

Plugging in the values:
m = (1 - (-2)) / (6 - 1) = 3 / 5

Therefore, the slope of the line connecting the two points is 3/5.