Download 6-5 Graphing Linear Equations

Warmups
1.
Determine the x and y intercepts of: 3x + 6y = 12
2.
Find the slope and y-intercept:
1
2
4x + 3y = 6
y  x
4
3
3.
y – 2=3(x+1)
Write an equation in point-slope form given:
3
(4,-1) m =3
(3, 7) m 
4
Homework Questions?
3 forms of a line
y  y1  m( x  x1)

Point-Slope

Standard

Slope-Intercept
Ax + By = C
y = mx + b
6-5 Graphing Linear
Equations
Objective: To graph a line in
point-slope form.
Point-Slope Form
y  y1  m( x  x1)

(x1,y1) = point
M = slope

We are going to use these to graph!

Steps to Graph
1.
2.
Graph the point (x1,y1)
Use slope (as a fraction) to find your next point
- rise/ run from the point
Example 1:
graph y – 2 = 2(x – 1)
Example 2
graph y – 1 = 3(x + 4)
Examples 3 & 4
1
graph y  1   ( x  3)
2
y2
Determine the value of r…
(1,3)(-2,r) m = 3
Homework

Pg. 360 #17,18,19,32,33
Graphing Review
Math Lab
Slope Intercept




y = mx + b
m = slope
b = y-intercept
Steps
 Graph y intercept
 Use slope to graph more points
 Connect points
1
y   x2
3
Slope Intercept Graphing
graph
y  2x  4
y  3x  5
Standard Form

Ax + By = C

Steps:



Use x and y intercepts
(x,0)(0,y)
Connect points
3x  4 y  12
Standard Graphing
graph
2 x  4 y  12
x  3y  9
Point-Slope Form
y  y1  m( x  x1)

Steps:
 Graph the point (x1,y1)
 Use to slope (m = rise/run)
to graph more points
 Connect the points
3
y  2   ( x  5)
2
Point-Slope Graphing
1
graph y  1   ( x  3)
2
y  4  3( x  2)