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

(0,-4)
(1,-1)

1 answer

First, we need to find the slope of the line using the two points given.

slope = (y2 - y1) / (x2 - x1)
slope = (-1 - (-4)) / (1 - 0)
slope = 3/1
slope = 3

Next, we can use the slope-intercept form of a linear equation, which is:

y = mx + b

where m is the slope and b is the y-intercept. We have the slope (m = 3) and one point on the line (0, -4). We can plug these values into the equation and solve for b:

-4 = 3(0) + b
-4 = 0 + b
b = -4

Now that we have the slope (m = 3) and the y-intercept (b = -4), we can write the equation in slope-intercept form:

y = 3x - 4
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