1. 3.1 Graphing Linear Equations
10/10/16

2. CC State Standards
For a function that models a relationship between two quantities , interpret key features of graphs and tables.

3. New Vocabulary Linear equation Standard Form Constant X – axis
Y - axis
X – Intercept
Y - Intercept

4. Definitions
Linear equations – An equation that forms a line when it is graphed.
Standard form – The standard form of a linear equation is Ax + By = C.
Constant – In a linear equation, C is called a constant, or a real number. Ax and By are variable terms.

5. Definitions
X – Axis – The horizontal number line on a coordinate plane.
Y – Axis – The vertical number line on a coordinate plane.
X – Intercept –The x-coordinate of the point at which the graph of an equation crosses the x – axis.
Y – Intercept – The y-coordinate of the point at which the graph crosses the y-axis

6. Standard Form of a Linear Equation
Ax + By = C
IE. 3x + y = 4
A = 3 , B = 1 , C = 4. This is a linear equation because it is written in standard form
Determine whether each equation is a linear equation. Write the equation in standard form.
x = y – 5
6x – xy = 4
5x + y2 = 25
8 + y = 4x

7. Graph each equation by using the X and Y intercepts
y = 4 + x
To find the x-intercept, let y = 0.
0 = 4 + x then isolate the variable
-4 = x This means the graph intersects the x-axis at (-4,0)
To find the y intercept, let x = 0.
y = 4 + 0
y = 4
This means the graph intersects the y-axis at (0,4).
Plot these points then draw a line through them.

8. Graph each equation by using the X and Y intercepts
2x – 5y = 1
y = 4 + 2x

9. Graph each equation by making a table. Y = 2x
(X,Y) -2 -1 1

10. Graph each equation by making a table. 6x – 3y = - 3 Get “y” by itself-2 -1 1

11. TOTD Graph each equation by making a table. Y = 3x
Plot the two points then draw a line through them. X
Y = 3x Y XY -2
- 1 1 2