Use the graph to derive the equation of the line in slope-intercept form.
(1, 3)
(0, -2)
First, we can calculate the slope of the line using the formula:
slope = (y2 - y1) / (x2 - x1)
Using the points (1, 3) and (0, -2):
slope = (-2 - 3) / (0 - 1)
slope = -5 / -1
slope = 5
Now that we have the slope, we can use the slope-intercept form of the equation of a line, which is:
y = mx + b
where m is the slope and b is the y-intercept. We can substitute the slope and one of the points into the equation to solve for the y-intercept.
Using the point (1, 3) and the slope m = 5:
3 = 5(1) + b
3 = 5 + b
b = 3 - 5
b = -2
Therefore, the equation of the line in slope-intercept form is:
y = 5x - 2