Unit 6 Day 4 Notes
Writing Linear Equations
GIVEN A GRAPH
slope and ____-_______________
y intercept
! Step 1: Identify the ___________
y = mx + b
! Step 2: Write the equation in slope-intercept form: ___________________
Some Examples…
Examples
1
2
•
•
•
•
m = _________ b = _________
m = _________ b = _________
Equation: __________________
Equation: __________________
3
4
y
y
x
O
x
O
Equation: __________________
5
Equation: __________________
6
y
x
Equation: __________________
O
x
Equation: __________________
© Gina Wilson, 2012
O
y
Name: Unit
Topic:
6 Day 4 Notes Cont.
Given a point & slope
Main Ideas/Questions
Class:
Date:
Notes
Used to write the equation of a line when given
a point (x1, y1) and the slope of the line (m)
The
PointPoint-Slope
Formula:
Formula
*Be sure to distribute and solve for y!
1. (4, 1); slope = 2
2. (2, 4); slope =
Examples!
1
2
Find the equation of
the line given
the point and slope.
2
3
5. (4, -3); slope = -1
4. (-8, -1); slope = −
3
4
6. (0, -9); slope = 4
© Gina Wilson, 2012
3. (-6, 0); slope =
Unit 6 Day 4 Notes Cont.
Given two points
What if you
are given
Two Points?
Points?
To write a linear equation given two points,
(x1, y1) and (x2, y2), follow this process:
Use the Slope Formula
Use the Point-Slope Formula
7. (-3, 7) and (1, -1)
8. (-6, -7) and (3, -4)
9. (2, -1) and (4, -6)
10. (-3, -8) and (2, 7)
11. (-6, -3) and (-4, -1)
12. (-4, 7) and (6, 2)
Examples!
© Gina Wilson, 2012
Find the equation of
the line given
the two points.