1 / 14

170 likes | 437 Views

6.5. Point – Slope Form. Quick Review. 1. What is the Slope-Intercept Form? y = mx + b 2. What is the Standard Form? Ax + By = C 3. How does an equation of a vertical line look? What is the slope? x = #, slope = undefined

Download Presentation
## 6.5

**An Image/Link below is provided (as is) to download presentation**
Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author.
Content is provided to you AS IS for your information and personal use only.
Download presentation by click this link.
While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server.
During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

**6.5**Point – Slope Form**Quick Review**1. What is the Slope-Intercept Form? y = mx + b 2. What is the Standard Form? Ax + By = C 3. How does an equation of a vertical line look? What is the slope? x = #, slope = undefined 4. How does an equation of a horizontal line look? What is the slope? y = #, slope = 0**Overview**Point-Slope Form Graphing Using Point-Slope Form Writing an Equation in Point-Slope Form Writing an Equation Using a Table Forms we’ve learned so far… Slope-Intercept Form: y = mx + b Standard Form: Ax + By = C**Point-Slope Formy – y1 = m(x – x1)**Derived (came from) the slope formula: (x1, y1) = (-2, -2) (x, y)**6.5 – Point – Slope Form**• Basically, when you are given a point and a slope, you can define the line by using the Point-Slope Form. y – y1 = m(x – x1) • Where m = slope and (x1, y1) is the given point.**Point-Slope Form**1. Write the equation in Point-Slope Form of the graph below: (x1, y1) = (-2, -2) We know the point (-2, -2), so x1 = -2 and y1 = -2 (x, y) We know the slope is 2/3 Plug it into the Point-Slope Form:**Graphing Using Point-Slope Form**2. Graph the equation What is the ordered pair? (x1, y1) = What is the slope? m = (2, 5) (2, 5)**Graphing Using Point-Slope Form**3. Graph the equation What is the ordered pair? (x1, y1) = What is the slope? m = (-2, 5)**Write an Equation in Point-Slope Form Given a Point and a**Slope 4. (-1, -3); Slope = 4 y + 3 = 4(x + 1) 5. (-10, 0); Slope = 2 y = 2(x +10) 6. (-4, 3); Slope = -6 y – 3 = -6(x +4)**Write an Equation in Point-Slope Form Given Two Points**Steps: • Find the slope between the two points. • Pick one point to use in order to write the equation. • Plug in the slope and coordinate from the point into the Point-Slope Form**7. (-3, 6) and (1, -2)**y – 6 = -2(x + 3) or y + 2 = -2(x – 1) 8. (-2, 3) and (-1, 1) y – 3 = -2(x + 2) or y – 1 = -2(x + 1) 9. (-2, -5) and (7, -6) y + 5 = - (x + 2) or y + 6 = - (x – 7) Write an Equation in Point-Slope Form Given Two Points**Writing an Equation from a Table**What is the independent and dependent variable? x – independent; y – dependent Find the rate of change: What is the slope? 4/10 = 2/5 What is one ordered pair? (-11, -7), (-1, -3), (4, -1), (19, 5) What is a possible equation in Point-Slope Form? y + 7 = 2/5 (x + 11)**Wrap Up**Point-Slope Form Graph Using Point-Slope form Start at the point Graph the slope Write equation in point-slope form Given a point and a slope Given two points Writing an equation from a table Find the rate of change (slope) Pick a point to plug in DLUQ: What two things are given to you in the point-slope form?

More Related