Question
Use the graph to derive the equation of the line in slope intercept form
Plots: (1, 3) (0, -2)
Plots: (1, 3) (0, -2)
Answers
GPT 3.5
First, we need to find the slope of the line using the two points (1, 3) and (0, -2).
Slope (m) = (y2 - y1) / (x2 - x1)
Slope (m) = (-2 - 3) / (0 - 1)
Slope (m) = -5 / -1
Slope (m) = 5
Now that we have the slope (m = 5), we can use one of the points, let's use (1, 3), in the slope-intercept form equation, which is y = mx + b.
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
Slope (m) = (y2 - y1) / (x2 - x1)
Slope (m) = (-2 - 3) / (0 - 1)
Slope (m) = -5 / -1
Slope (m) = 5
Now that we have the slope (m = 5), we can use one of the points, let's use (1, 3), in the slope-intercept form equation, which is y = mx + b.
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