1. Warm Up… Solve each equation for y.
y – 5 = 4x (2) y + 2x = (3) 2y + 6 = -8x
Calculate the slope given the two points.
(4) (-4, 4) and (2, -5) (5) (0, -1) and (1, -6)

2. #6.2 - Graphing Linear Equations
In Slope-Intercept Form
Objective: SWBAT graph linear equations

3. A linear equation graph will always create a line.
Linear equations are in the form y = mx + b or can be rewritten into the form y = mx + b.
In this section, instead of making a table, evaluating y for each x, plotting the points and making a line, we will use The Slope-Intercept Form of the equation to graph the line.

4. Notice that these equations are all solved for y.
These equations are all in Slope-Intercept Form:
Notice that these equations are all solved for y.

5. y = mx + b Formula for Slope – Intercept Form
‘b’ is the y-intercept (the point where the graph crosses the y – axis)
‘m’ is the slope

6. Just by looking at an equation in this form, we can draw the line (no tables).
The constant is the y-intercept.
The coefficient is the slope.
Constant = 1, y-intercept = 1.
Coefficient = 2, slope = 2.
Constant = -4, y-intercept = -4.
Coefficient = -1, slope = -1.
Constant = -2, y-intercept = -2.
Coefficient = 3/2, slope = 3/2.

7. right 1
up 2
right 1
up 2

8. down 1
down 1
right 1
right 1

9. right 2
up 3
right 2
up 3

10. y = x

11. y = -3
x = 2

12. Sometimes we must solve the equation for y before we can graph it.
The constant, b = 3 is the y-intercept.
The coefficient, m = -2 is the slope.