Use the graph to answer the question, (0, -2), (1, 3)

Question

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

Answer 1

First, we need to find the slope of the line using the points (0, -2) and (1, 3).

Slope = (change in y) / (change in x)
Slope = (3 - (-2)) / (1 - 0)
Slope = 5 / 1
Slope = 5

Now that we have the slope, we can use the point-slope form of the equation of a line to find the equation in slope-intercept form y = mx + b, where m is the slope and b is the y-intercept.

Using the point (0, -2):
-2 = 5(0) + b
b = -2

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