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. Slope = !2 ! y=12x+2 Slope = ! y+2x+2=0 ! 2y=x"4 and ! y=12x+2 ! 2y+x=1 and 2y=4!x Lines ! y+2x=8 and ! y+2x+2=0 are perpendicular to ! 2y=x"4 and ! y=12x+2 so these form a rectangle. Que 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 . 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.. 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 . H. Seim, W. Stark, UNC Chapel Hill. C. Edwards, . Skidaway. Institute Of Oceanography. Ryan and Yoder (1996) found maximum wintertime . Chl. off. Long Bay, outside frontal eddy decay regions. What supports the productivity in this area?. Y = . m. X. + . b. Slope. or. Rate of change. Y intercept. X. Y. 4. 5. The line has a negative trend. So the slope is - ⅘. The y intercept is at 0, -3. So the equation for the line is……. Y = . 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. ;. . for July 2015. Emily Anderson. UT Marine Science Institute. My Question:. Do July aggregate events occur more often in areas of high sea surface slope? . What information can I look at to answer this question?. 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}. The Effects of Slope Aspect on Tree Density in the Subalpine Forest Alex Sandberg-Bernard Winter Ecology, 2018 Mountain Research Station, University of Colorado Boulder BACKGROUND Subalpine forest Highest elevation forests 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. .