Question

page 16 of 16
Writing Linear Equations in Slope-Intercept Form Quick Check
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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
Start Fraction 5 over 3 End Fraction

−53
negative Start Fraction 5 over 3 End Fraction

35
Start Fraction 3 over 5 End Fraction

−35

Answer 1

To determine the slope of the line connecting the points A(1, -2) and B(6, 1), we can use the formula for the slope, which is:

\[
m = \frac{y_2 - y_1}{x_2 - x_1}
\]

Here, \((x_1, y_1) = (1, -2)\) and \((x_2, y_2) = (6, 1)\).

Substituting the values into the formula:

\[
m = \frac{1 - (-2)}{6 - 1} = \frac{1 + 2}{6 - 1} = \frac{3}{5}
\]

So, the slope of the line is:

\[
\frac{3}{5}
\]

The correct response is:

**Start Fraction 3 over 5 End Fraction**