PPT-Find Slope & Rate of Change

Graph Equations of Lines Objectives To find the slope of a line given 2 points To classify a line based on its slope To find the slope of parallel and perpendicular lines To graph the equation of a line using slopeintercept and standard form of a line. Relations. Chapter 6. Slope. Steepness of a line. The change in the y coordinate divided by the change in x. Ϫy. . . . Ϫx. Ratio of the rise over run. Vertical change divided by horizontal change. Related Rates. BC Calculus. Intro:.  . GOAL. :. to find the rates of change of two (or more) variables with respect to a third variable (the parameter) . This is a combination of PARAMETRIC and IMPLICIT functions. Rate of change:. Shows the relationship between two. VARIABLE. quantities.. The table shows the elevation of a hang glider over time. Is the rate of change in elevation with respect to time constant? What does the rate of change represent?. Ratios. A . ratio. is a comparison of . two. numbers.. Example: Tamara has 2 dogs and 8 fish. The ratio of dogs to fish can be written in three different ways. ..  .  . ***. Be careful with the . Tangent Lines. Average Rate of Change. The . average rate of change. of a quantity over a period of time is the slope on that interval of time.. Ex.:. . Find the average rate of change of . f(x) = x. Standard: . 8.EE.B.. 6 . Use . similar triangles to explain why the slope m is the same between any two distinct points on a non-vertical line in the coordinate plane; derive the equation y = mx for a line through the origin and the equation y = mx + b for a line intercepting the vertical axis at b.. Chapter 3 Section 4. Usually omit instantaneous. Interpretation: The rate of change at which . f. is changing at the point x. Interpretation: Instantaneous rate are limits of average rates.. Example. Standard: . 8.EE.B.. 6 . Use . similar triangles to explain why the slope m is the same between any two distinct points on a non-vertical line in the coordinate plane; derive the equation y = mx for a line through the origin and the equation y = mx b for a line intercepting the vertical axis at b.. Standard:. MAFS.912.S-ID.3.7. : . Interpret . the slope (rate of change) and the intercept (constant term) of a linear model in the context of the data.. . Problem of the Day:. Solve for the slope between (-1,-5) and (6,9. Objective: SWBAT determine the slope of a line given a graph or two ordered pairs.. Mini Quiz 39. Find the domain and range of the function:. 2. What is the greatest value in the range of y=2x 4 for the domain {-2, -1, 0, 1}. Function Review.  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  . 2.1 – . Rates. of Change and Tangents to Curves. Function Review.  .  .  .  .  .  . 2.1 – . Rates. of Change and Tangents to Curves. October 17-18, 2016. Mrs. Agnew. Essential Question. How do you find the average rate of change of . a function?. Essential Vocabulary. Average Rate of Change. Function. Function Notation. Average Rate of Change. 2. Differentiation is all about measuring change! . Measuring change in a linear function:. . y = a + bx. a. = intercept. b. = constant slope i.e. the impact of a unit change in x on the level of y. 1. . 2. . 3. . 4. .  . 7-5 equations and slope. 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. .