1. Warm Up #10
1.) Graph 5x + 7y =35 2.) Graph y= 2x -3

2. Graph 5x + 7y =35 X -values Y- values (X, Y) 7 -5/7(7)+5 (7, 0)
(7, 0)
-5/7(0)+5 5
(0,5) -7
-5/7(-7)+5 10
(-7, 10)
Solve for “y”
7y = -5x +35
Y = -5/7 x + 5

3. Find 3 points using the table, and graph the line of the equation
Find 3 points using the table, and graph the line of the equation. y = 2x - 3 1 -1 -3 -5 -1
This is a review, scaffolding slide. Have each student graph the equation at their desk. W#alk around and check.

4. 7.3 Linear Equations and Their Graphs

5. Linear Equations (Graphs are straight lines)
Equation is linear only if the each variable has an exponent of “1”.
(exponent in denominator is not linear)
Products of variables not linear, ie (x)(y)
y – 3x = -7
y = 2x + 1
y = x2 + 1
Teach and discuss the 3 bullets. The next click will display the yellow example of bullet 2. The next click will display one of the green examples. Ask class to decide if linear or not, then call on one “random” STUDENT TO ANSWER AND EXPLAIN WHY IF NOT LINEAR.
5y = 14
xy = 2

6. y X x - intercept y - intercept
Definitions. Instruct student to add to notebook.
y - intercept

7. Graphing using Intercepts
Let x=0 and determine the y-intercept.
Let y=0 and determine the x-intercept
Plot both points. Connect them with a line.
More for notebook

8. Graph 4x + 3y = 12 using intercepts
Find x-intercept
4x + 3(0) = 12
Find y-intercept
4(0) + 3y = 12
4x = 12
3y = 12
x = 3
y = 4
Teach and demonstrate the concept.

9. Graph 2x + 3y = 12 using intercepts6
This slide introduces the X-Y intercept table. Teach and demonstrate the steps.

10. Graph 3x + 5y = 15 using intercepts5
Have students make an intercept table and graph the equation on each of the next 6 slides. The steps are shown for students still needing to see it. I provide graph paper with 6 graphs per front and back.

11. Graph 5x - 2y = 10 using intercepts2

12. Graph 2y = 3x - 6 using intercepts2
This is the first problem not in slope intercept form and will catch many. Teach.

13. Horizontal and Vertical Lines
The graph of y= # is HORIZONTAL
The graph x =# is VERTICAL

14. Graph 4y = 16 using 3-points x y 3 6

15. Graph 3x = 18 using 3-points x y 3
- 4

16. Differences between graphing by using a table and graphing by finding the x and y intercepts
When graphing by a table you need to solve for y (Slope Intercept Form y=mx+b)
When graphing by finding the x and y intercepts you do not have to solve for y (Standard Form Ax +By =C)

17. Assignment Page 316 ( 16 – 42 even and 45-49 all)