Answer:
<u>Point-slope form</u>: y - 8 = -9/2(x + 4)
Step-by-step explanation:
Given points (-4, 8) and (-2, -1)
In order to determine the point-slope form of the line, we must first solve for its slope by using the following formula:
m = (y2 - y1)/(x2 - x1)
Let (x1, y1) = (-4, 8)
(x2, y2) = (-2, -1)
Substitute these values into the slope formula:
m = (y2 - y1)/(x2 - x1)
m = (-1 - 8)/ [-2 (-4)]
m = -9/(-2 + 4)
m = -9/2
Therefore, the slope is m = -9/2.
Next, using the slope, m = -9/2, and one of the given points, (-4, 8), substitute these values into the point-slope form:
y - y1 = m(x - x1)
y - 8 = -9/2[x - (-4)]
y - 8 = -9/2(x + 4)
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