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# 2.3

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### 2.3

1. 1. 2.3 LINEAR FUNCTIONS ANDSLOPE-INTERCEPT FORM
2. 2. SLOPE
3. 3. TYPES OF SLOPE
4. 4. EXAMPLE: WHAT IS THE SLOPEOF THE LINE THAT PASSESTHROUGH THE TWO POINTS?( −3,7 ) & ( −2,4 )( 3,1) & ( −4,1)( 7, −3) & ( 7,1)
5. 5. LINEAR FUNCTIONS A linear function is a function whose graph is a line. We represent a linear function with a linear equation.
6. 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. 7. SLOPE – INTERCEPT FORM
8. 8. EXAMPLE: WHAT IS ANEQUATION OF THE LINE 1 and the y-intercept is 0, −3 m= ( ) 5
9. 9. EXAMPLE: WHAT IS ANEQUATION OF THE LINE
10. 10. WORKING WITH LINEAREQUATIONS We can rewrite a linear equation in slope – intercept form by solving for y.
11. 11. EXAMPLE: WRITE THEEQUATION IN SLOPE –INTERCEPT FORM. WHAT ARETHE SLOPE AND Y-INTERCEPT.5 x − 4 y = 16
12. 12. EXAMPLE: WRITE THEEQUATION IN SLOPE –INTERCEPT FORM. WHAT ARETHE SLOPE AND Y-INTERCEPT. 3 1− x + y = −1 4 2
13. 13. GRAPHING A LINEAR EQUATION1. Given an equation of a line, write the equation in slope-intercept form2. Plot the y-intercept3. Use the slope to find a second point4. Sketch the line
14. 14. EXAMPLE: GRAPH THE LINE −2 x + y = 1
15. 15. EXAMPLE: GRAPH THE LINE4 x − 7 y = 14
16. 16. ASSIGNMENT Page 78  #9 – 35 odd, 18, 47, 48, 51 – 55 odd, 59, 61