Question

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

Answer 1

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.

Answer 2

m=-11

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

so 5 , 2 is x1,y1

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