This document provides information about writing equations of lines in point-slope form and discusses key concepts like: - Point-slope form uses the slope (m) and a point (x1, y1) on the line to write the equation. - It gives examples of writing equations of lines where the slope and point are given. - It also covers writing equations of lines given two points by first calculating the slope and then using point-slope form. - Finally, it discusses writing equations of lines parallel or perpendicular to given lines.

2.  Another
form of a linear equation is
point-slope form.
m
is still slope!
 (x1, y1) is a point on the line
 Answer still needs x and y in it!

3.  Write
an equation in point-slope form
of the line:
 Slope = 2/3
 Through (-6, 1)

4.  Slope
= -4
 Through (1, 2)

5.  Write
the point-slope form equation of
the lines described:
 Slope = 1
 Through (7, 0)
 Slope
= -3/4
 Through (-8, -5)

6.  When
given 2 points:
◦ Find the slope
◦ Pick one of the points and write
equation using point-slope form
◦ Solve for y to rewrite in
slope-intercept form y = mx + b

7.  Write
an equation of the line through:
 (2, 4) and (5, -2)

8.  Write
an equation of the line through:
 (-3, 0) and (-2, 3)

9.  Write
an equation of the line through:
 (-6, 10) and (6, -10)

10.  Remember:
 Parallel
lines have the same slope.
 Perpendicular
lines have slopes that
multiply to -1
◦ Find the “opposite reciprocal”
◦ Flip it and change the sign!

11.  Write
an equation of the line that
passes through (-2, 1) and is parallel
to y = 3x - 4.

12.  Through
(-4, -5) and parallel to
y = -4x – 1

13.  Through
(2, -3) and parallel to
y = 2x + 1.

14.  Write
an equation of the line that
passes through (-3, 1) and is
perpendicular to y = -4x + 5.

15.  Through
(4, 2) and perpendicular to
y = -1/3 x + 1

16.  Through
(-3, 7) and perpendicular to
y = -2x – 5.