Using the graph, derive the equation of the line in slope-intercept form.

(0,1)
(1,-4)

1 answer

First, calculate the slope using the formula:
slope = (y2 - y1) / (x2 - x1)
slope = (-4 - 1) / (1 - 0)
slope = -5 / 1
slope = -5

Next, we can put the slope and one of the points into the slope-intercept form equation: y = mx + b
Using point (0,1):
1 = -5(0) + b
1 = b

Therefore, the equation of the line in slope-intercept form is:
y = -5x + 1
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