1,3. 0,-2
Use the graph to derive the equation of the line in slope intercept form
To find the equation of the line in slope-intercept form (y = mx + b), we first need to find the slope (m) and the y-intercept (b) from the given points (1,3) and (0,-2).
Slope (m) = (y2 - y1) / (x2 - x1)
m = (-2 - 3) / (0 - 1)
m = (-5) / (-1)
m = 5
Now that we have the slope, we can use one of the given points to find the y-intercept (b).
Using point (1,3):
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