1. Linear Equations and Their Forms
Chapter 6 Sections 1-5

2. Draw this table WORD COMMON MEANING MATHEMATICAL MEANING SLOPE
INTERCEPT
STANDARD
POINT

3. Draw this table WORD COMMON MEANING MATHEMATICAL MEANING SLOPE
Incline, steepness-example the slope of a hill
Rate of change
Slope= 𝒗𝒆𝒓𝒕𝒊𝒄𝒂𝒍 𝒄𝒉𝒂𝒏𝒈𝒆 𝒉𝒐𝒓𝒊𝒛𝒐𝒏𝒕𝒂𝒍 𝒄𝒉𝒂𝒏𝒈𝒆 = 𝒓𝒊𝒔𝒆 𝒓𝒖𝒏
INTERCEPT
To cut off from a path-example to intercept a football
The values of the points at which a line intersects (or cuts) the x-axis or y-axis
STANDARD
Generally accepted
A general form of an equation
POINT
A dot or speck
A fixed location on a coordinate plane, every point has a unique x and y value

4. Can we tell the difference?
Slope-Intercept form, Standard form and Point-Slope form all give clues about the lines they will graph.

5. Slope-Intercept form
Tells the slope of the line and its y-intercept

6. Standard form The GENERAL form of linear equations.
You can model most real world situations using this form.
Easy to find x and y intercepts

7. Point-Slope form
Tells a point on the line and the slope of the line

8. Which form of a linear equation is easiest to write for the situation?
A submarine started at sea level and submerged at a steady rate of 8 feet per minute.

9. Which form of a linear equation is easiest to write for the situation?
A plant growing at a steady rate measured 2 inches on day 5 and 13 inches on day 21.

10. Which form of a linear equation is easiest to write for the situation?
You start a pet-washing service. You spend $20 on supplies. You plan to charge $5 to wash each pet.

11. Which form of a linear equation is easiest to write for the situation?
Annika traveled a distance of 15 miles. She runs an average of 8mi/hour and walks an average of 3mi/hour.

12. Graph.
y = -2x + 3

13. Graph.
5x – 2y = 10

14. Graph.
y – 2 = 3(x – 5)

15. Write in all three forms. Then graph.
(2,1) and (-3, -4)