Writing Linear Equations in Slope-Intercept Form Quick Check

Question

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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 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

−27
negative Start Fraction 2 over 7 End Fraction

−2
negative 2

27
Start Fraction 2 over 7 End Fraction

2

Answer 1

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

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

In this case, the coordinates of Point A are (-4, 1) and the coordinates of Point B are (3, 3).

Plugging these values into the formula:

slope = (3 - 1) / (3 - (-4))
slope = 2 / 7

Therefore, the slope of the line is 2/7.

The correct response is: Start Fraction 2 over 7 End Fraction