A line includes the points (-9, -4) and (1, 8). What is its equation in point-slope form?
Use one of the specified points in your equation. Write your answer using integers, proper fractions, and improper fractions. Simplify all fractions.
To find the equation in point-slope form, we first need to calculate the slope (m) using the formula:
m = (y2 - y1) / (x2 - x1)
Using the points (-9, -4) and (1, 8):
m = (8 - (-4)) / (1 - (-9)) = 12 / 10 = 6 / 5
Now, using the point-slope form equation y - y1 = m(x - x1), we can use either point. Let's use the point (1, 8):
y - 8 = (6/5)(x - 1)
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