Point-Slope Form Notes

Name: ______Date: ______Period: ______

The point-slope form of the equation:

The coordinates x1 and y1 are taken from a given point ______and m is the ______(______).

Example 1: A line with a slope of -2 contains the point (3, -3). Write an equation in point-slope form. 1. Slope: 1. Find the slope and a point.

Point: 2. Replace the variables in the formula (leaving only x and y). 2. Formula:

Practice: Write the equation of the line passing through the point (-1, 7) and having a slope of -3.

1 Write the equation of the line passing through the point (2, -4) and having a slope of . 4

 Write the equation of the line passing through the point (3, -2) and having a slope of 0.

Example 2: Identify the point and slope used: 1 y  3  ( x 1 ) y  4  2(x 1) y  3  x  2 y  7(x 11) 2

    Name: ______Date: ______Period: ______

Example 3: Use the points (2, -4) and (7, 3) to write the equation of a line in point-slope form. 1. Slope: 1. Find the slope.

2. Pick EITHER point to use in the formula.

2. Point: 3. Put it in point-slope form.

3. Formula:

Practice: Write the equation of the line in point-slope form with points (2, 3) and (-1, -4).

Write the equation of the line in point-slope form with points (7, -2) and (7, 3).

Example 4: **Find the equation in point-slope form of the following line:

Step 1: Find the slope

Step 2: Pick ANY point.

Step 3: Put in point-slope form.

Practice: