Slope in Linear Equations

Within linear equations, finding the slope is key to understanding their steepness. By selecting two points and calculating the ratio of vertical change to horizontal change, the slope value is derived. The slope is represented by the coefficient of the x-term in the equation of a line. This interactive resource offers guidance on how to identify and calculate slope from a graph or an equation. Practice determining slope values from provided equations and learn how to handle equations that are not in standard form to isolate the slope. Explore linear equations, slope calculations, and the significance of slope in graph interpretation.

• Slope
• Linear Equations
• Graphs
• Coefficient
• Mathematics

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Uploaded on Feb 26, 2025 | 0 Views

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Presentation Transcript

1. BELL RINGER # Find the slope: 1. ??, ?? ?,? 2. ?, ?? ?, ? 3. ?,? ?, ?? 4. ??, ? (??, ?)

2. 7 7- -5 5 EQUATIONS EQUATIONS AND SLOPE AND SLOPE

3. SLOPE FROM A GRAPH SLOPE FROM A GRAPH When given the graph of a linear equation you can choose any two points on the line and find the slope. Try and pick a point on an axis if possible.

4. FIND THE SLOPE http://www.mpsaz.org/jefferson/staff/tepeterson/math/math_glossary/images/coordinate.plane.2.gif

5. FIND THE SLOPE http://www.mpsaz.org/jefferson/staff/tepeterson/math/math_glossary/images/coordinate.plane.2.gif

6. FIND THE SLOPE http://www.mpsaz.org/jefferson/staff/tepeterson/math/math_glossary/images/coordinate.plane.2.gif

7. EQUATION OF A LINE ? = ?? + ? When given an equation of a line the coefficient of the x-term is ALWAYS the slope! (remember we called slope, m)

8. FIND THE SLOPE 1. ? = 4? 7 2. ? = 2? + 6 3. ? = 29? 46

9. FIND THE SLOPE What happens when our equation doesn t look like ? = ?? + ?? We must solve for y and put the equation in the correct form! y can be the ONLY thing on the left side of the equal sign On the right side, write the x-term first then the constant

10. FIND THE SLOPE 1. 2? + 3? = 7 2. 4? + 5? = 7 3. 3? + 8? = 9 4. ? + 5? = 7 5. 5? 4? = 8

11. EQUATION OF A LINE ? = 2? 3 http://www.mpsaz.org/jefferson/staff/tepeterson/math/math_glossary/images/coordinate.plane.2.gif

12. SLOPE INTERCEPT An equation ? = ?? + b is called the slope-intercept form of a line. The slope is ? and the y-intercept is ? = ?? + ?

13. SLOPE INTERCEPT FORM ? = ?? + ? y-intercept Constant Constant Slope

14. LETS TRY IT Identify the slope and y-intercept: 1. ? = 3? 4 2. ? = 6? + 7 3. ? = 1 2? 8

15. Sometimes we have to put our equation in ? = ?? + ? form so we can identify the slope and y- intercept. 2? + 3? = 6

16. EXAMPLES Find the slope and y-intercept: 1. ? = 5? 2. 3? + 4? = 16 3. 7? 5? = 25 4. 6? + 10? = 24

17. GRAPHING ? = 2? + 3 http://www.mpsaz.org/jefferson/staff/tepeterson/math/math_glossary/images/coordinate.plane.2.gif

18. GRAPH http://www.mpsaz.org/jefferson/staff/tepeterson/math/math_glossary/images/coordinate.plane.2.gif 1. ? = 3? 4 2.? = 1 3? + 4 3. ? = 3 4? + 2 4. 2? 4? = 8 5. 3? 6? = 12

19. WRITING AN EQUATION When you are given an ? ??? ? value you can plug them into the formula to write an equation. Keep the ? ??? ? as constants and fill in the ? ??? ? where they belong. Ex: write an equation if ? = ? ??? ? = ?.

20. Write an equation using the given slope and y-intercept. 1. ? = 3,? = 6 2. ? =3 2,? = 10 3.? = 12,? = 12 4. ? = 1 6,? = 7 5. ? = 5 6,? = 9

21. CLASSWORK Pg 326: #1-39, 41-46, 48-53