Fill in the blanks to complete the steps.

Question

How to use two points on a line to write its equation
Steps
Example
Step 1
Identify the coordinates of two
----, i Answer
1_--
on a line.
Points: (2, 1) and (4, -5)
Step 2
Find the i Answer
of the line.
m =
32=¼1 =
エ2-21
을=
-3
Step 3
Use the slope and one point to
equation.
Write the i Answer, equation.
У - У1 =m(X-X1)
у - 1 = -3(x - 2)
# points
# point-slope
# slope

Answer 1

Here are the filled-in steps for using two points on a line to write its equation:

Steps
Example
Step 1
Identify the coordinates of two points on a line.
Points: (2, 1) and (4, -5)

Step 2
Find the slope of the line.
\( m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{-5 - 1}{4 - 2} = \frac{-6}{2} = -3 \)

Step 3
Use the slope and one point to write the point-slope equation.
\( y - y_1 = m(x - x_1) \)
\( y - 1 = -3(x - 2) \)

Now you've completed the steps to use two points to write the equation of the line!