Use the graph to answer the question
(3, 0)
(0, -2)
Write the equation of the line in slope-intercept form.
______
To find the equation of the line in slope-intercept form, we first need to calculate the slope of the line. The slope is given by the formula:
m = (y2 - y1) / (x2 - x1)
Using the points (3, 0) and (0, -2):
m = (0 - (-2)) / (3 - 0)
m = 2 / 3
m = 2/3
Now that we have the slope (m = 2/3), we can substitute the slope and any point on the line into the slope-intercept form equation:
y = mx + b
For example, we can use the point (0, -2):
-2 = (2/3)(0) + b
-2 = b
Therefore, the equation of the line in slope-intercept form is:
y = (2/3)x - 2