Question

What the equation in point-slope form, matchs the graphed line shown

Answer 1

Given points (0, 1) and (-7, 5):

Let (x1, y1) = (0, 1)
(x2, y2) = (-7, 5)

First, solve for the slope of the line using the formula:

m = (y2 - y1)/(x2 - x1)
m = (5 - 1) / (-7 - 0)
m = 4/-7 = -4/7

Now that we have our slope, m = -4/7, we can plug this in, along with one of the given points, (0, 1), into the point-slope form:

y - y1 = m(x - x1)

y - 1 = -4/7(x - 0) ← This is the point-slope form


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