1. 2.3 LINEAR FUNCTIONS AND
SLOPE-INTERCEPT FORM

2. SLOPE

3. TYPES OF SLOPE

4. EXAMPLE: WHAT IS THE SLOPE
OF THE LINE THAT PASSES
THROUGH THE TWO POINTS?
( −3,7 ) & ( −2,4 )
( 3,1) & ( −4,1)
( 7, −3) & ( 7,1)

5. LINEAR FUNCTIONS
 A linear function is a function whose graph is a
line.
 We represent a linear function with a linear
equation.

6. INTERCEPTS
 An intercept of a line is a point where a line
crosses an axis.
 The y-intercept of a nonvertical line is the point at
which the line crosses that y-axis.
 The x-intercept of a nonhorizontal line is the point
at which the line crosses the x-axis.

7. SLOPE – INTERCEPT FORM

8. EXAMPLE: WHAT IS AN
EQUATION OF THE LINE
1 and the y-intercept is 0, −3
m= ( )
5

9. EXAMPLE: WHAT IS AN
EQUATION OF THE LINE

10. WORKING WITH LINEAR
EQUATIONS
 We can rewrite a linear equation in slope –
intercept form by solving for y.

11. EXAMPLE: WRITE THE
EQUATION IN SLOPE –
INTERCEPT FORM. WHAT ARE
THE SLOPE AND Y-INTERCEPT.
5 x − 4 y = 16

12. EXAMPLE: WRITE THE
EQUATION IN SLOPE –
INTERCEPT FORM. WHAT ARE
THE SLOPE AND Y-INTERCEPT.
3 1
− x + y = −1
4 2

13. GRAPHING A LINEAR EQUATION
1. Given an equation of a line, write the equation
in slope-intercept form
2. Plot the y-intercept
3. Use the slope to find a second point
4. Sketch the line

14. EXAMPLE: GRAPH THE LINE
−2 x + y = 1

15. EXAMPLE: GRAPH THE LINE
4 x − 7 y = 14

16. ASSIGNMENT
 Page 78
 #9 – 35 odd, 18, 47, 48, 51 – 55 odd, 59, 61