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 on 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 3 comma 0 right parenthesis.

Write the equation of the line in slope-intercept form.
(1 point)

Answer 1

[AI-generated answer — Bot GPT 3.5]

The equation of the line can be written in slope-intercept form as y = mx + b, where m is the slope and b is the y-intercept.

First, calculate the slope using the two plotted points:
m = (y2 - y1) / (x2 - x1)
m = (0 - (-2)) / (3 - 0)
m = 2 / 3

Next, substitute one of the plotted points into the equation y = mx + b to find the y-intercept 'b'. Using the point (3,0):
0 = (2/3) * 3 + b
0 = 2 + b
b = -2

Therefore, the equation of the line in slope-intercept form is y = (2/3)x - 2.