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A line intersects the points

(5, 2) and (6,-9).
m =
-11
Write an equation in point-slope form
using the point (5,2).
y - [?]
=
(x

User Losingsleeep
by
2.5k points

2 Answers

13 votes
13 votes

Answer:

Y - 2 = -11 (X - 5)

Explanation:

The setup for a point-slope equation is: Y - Y1 = m (X - X1)

To start this out, we have to find the slope. The slope is:

(Y2 - Y1) / (X2 - X1)

(-9 - 2) / (6 - 5)

-11 / 1 = -11

So the m value is -11.

We only have to plug in the points to finish this equation. The point we use is (5, 2) as it is mentioned in the question. Replace the Y1 and the X1 values appropriately to get the equation of the line.

User Gazler
by
3.2k points
15 votes
15 votes

Answer:

m=-11

point-slope form _y-y1=m(x-x1)

so 5 , 2 is x1,y1

so y-2=-11(x-5)

User Mikedanylov
by
3.1k points