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Find the point-slope equation for the line
that passes through the points (2, 1) and
(-2, 5). Use the first point in your equation.
y - [?
]
-
[ ](x - [ ]

Please help Find the point-slope equation for the line that passes through the points-example-1

1 Answer

6 votes

9514 1404 393

Answer:

y -1 = -1(x -2)

Explanation:

The slope of the line through the two points can be found from the slope formula:

m = (y2 -y1)/(x2 -x1)

m = (5 -1)/(-2 -2) = 4/-4 = -1

The point-slope equation for a line through point (h, k) with slope m is ...

y -k = m(x -h)

You have (h, k) = (2, 1) and m = -1. Putting these values into the form gives ...

y -1 = -1(x -2)

_____

Additional comment

Your problem statement already has two of the three values filled in, so you only need to enter the x-coordinate of the first point: 2.

User Hanlin
by
6.6k points
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