Question

Use the image to answer the quest

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)

Answer 1

[AI-generated answer — Bot GPT 3.5]

First, let's find the slope of the line using the two points given:

Slope (m) = (3 - (-2))/(1 - 0) = 5/1 = 5

Next, we can use the point-slope form of a linear equation to find the equation of the line:
y - y1 = m(x - x1)

Using the point (1,3):
y - 3 = 5(x - 1)

Now, simplify to slope-intercept form:
y - 3 = 5x - 5
y = 5x - 5 + 3
y = 5x - 2

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