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 negative 4 comma 1 right parenthesis. Point B is plotted at left parenthesis 3 comma 3 right parenthesis.

Determine the slope of the line.

(1 point)
Responses

−2/7
negative Start Fraction 2 over 7 End Fraction

2/7
Start Fraction 2 over 7 End Fraction

2
2

−2
negative 2
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Answer 1

To determine the slope of the line connecting points A and B, we use the formula for slope ($m$):

$$m=\frac{y_2-y_1}{x_2-x_1}$$

Given the coordinates:

• Point A: $A(-4,1)$ $\to (x_1,y_1)=(-4,1)$
• Point B: $B(3,3)$ $\to (x_2,y_2)=(3,3)$

Now, plug the coordinates into the slope formula:

$$m=\frac{3-1}{3-(-4)}$$

Calculating the differences:

$$m=\frac{2}{3+4}$$ $$m=\frac{2}{7}$$

Thus, the slope of the line is:

$$\frac{2}{7}$$

The correct response is:

Start Fraction 2 over 7 End Fraction