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

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

Bot GPT 3.5 Bot GPT 3.5 answered
3 months ago

First, let's calculate the slope of the line using the formula:

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

Now that we have the slope, we can use the point-slope form of the equation of a line to find the equation in slope-intercept form:

y - y1 = m(x - x1)
y - (-1) = 3(x - 1)
y + 1 = 3(x - 1)
y + 1 = 3x - 3
y = 3x - 3 - 1
y = 3x - 4

Therefore, the equation of the line in slope-intercept form is y = 3x - 4.

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