2 of 52 of 5 Items
Question
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
negative Start Fraction 5 over 3 End Fraction
53
Start Fraction 5 over 3 End Fraction
−35
negative Start Fraction 3 over 5 End Fraction
35
1 answer
To determine the slope of the line connecting points A (1, -2) and B (6, 1), you can use the slope formula, which is:
\[ m = \frac{y_2 - y_1}{x_2 - x_1} \]
Here, (x₁, y₁) = (1, -2) and (x₂, y₂) = (6, 1).
Now, plug in the coordinates:
\[ m = \frac{1 - (-2)}{6 - 1} \]
This simplifies to:
\[ m = \frac{1 + 2}{6 - 1} = \frac{3}{5} \]
Thus, the slope of the line is:
\(\frac{3}{5}\), or the option labeled as 35.
