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