Question

Graphing Linear Equations Unit Test

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Question
Use the image to answer the question.

An illustration of a coordinate plane with four quadrants shows the x-axis ranging from negative 9 to 9 and the y-axis ranging from negative 11 to 11 in increments of 1. A solid upward line with arrows at both ends is plotted on the graph. The line passes through the plotted points left parenthesis 0 comma negative 2 right parenthesis and left parenthesis 1 comma 3 right parenthesis.

Use the graph to derive the equation of the line in slope-intercept form.

(1 point)
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Answer 1

[AI-generated answer — Bot GPT 3.5]

The equation of the line in slope-intercept form is y = 5x - 2.

This can be determined by calculating the slope of the line using the two plotted points (0, -2) and (1, 3).
The slope (m) is calculated as (3 - (-2)) / (1 - 0) = 5.
Then, using the slope-intercept form y = mx + b, we can substitute the slope (m = 5) and one of the points (1, 3) to solve for the y-intercept (b).
3 = 5(1) + b
3 = 5 + b
b = -2

Therefore, the equation of the line in slope-intercept form is y = 5x - 2.