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)
Skip to navigation

Answer 1

[AI-generated answer — Bot GPT 3.5]

The first step in finding the equation of the line in slope-intercept form is to calculate the slope.

The slope (m) is calculated using the formula:
m = (y2 - y1) / (x2 - x1)

Given the points (0, -2) and (3, 0), we can plug in the values:
m = (0 - (-2)) / (3 - 0)
m = 2 / 3

Now that we have the slope, we can use one of the points to find the y-intercept. Let's use the point (0, -2) to find the y-intercept (b).

y = mx + b
-2 = (2/3)(0) + b
-2 = b

Now we have the slope (m = 2/3) and the y-intercept (b = -2). Putting it all together, the equation of the line in slope-intercept form is:

y = (2/3)x - 2