O LINES AND FUNCTIONSGraphing a line through a given point with a given slopeGraph the line with slope -3 passing through the point (4, 2).106-4.2-F0 -8-64 610-24-8-6.II

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Answered: Graph the line with slope -3 passing…

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter4: Linear Functions

Section: Chapter Questions

Problem 8RE: Find the slope of the line shown in the graph.

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Slope from Two Values Suppose that f is a linear function such that f(2)=7 and f(5)=19. What is the slope of f?
When Date Are Unevenly speed. If data are evenly spaced, we need only calculate differences to see whether the data are linear. But if data not evenly spaced, then we must calculate the average rate of change over each interval to see whether the data are linear. If the average rate of changes is constant, it is the slope of the linear function. This fact is used in Exercises 23 and 24. In the following table, show that the average rate of change is the same over each interval. This shows the data are linear, even though the differences in y are not constant. Then find a linear model for the data. x 1 2 5 6 y 7 10 19 22
Find the slope of the line shown in the graph.
When Date Are Unevenly speed. If data are evenly spaced, we need only calculate differences to see whether the data are linear. But if data are not evenly spaced, then we must calculate the average rate of change over each interval to see whether the data are linear. If the average rate of change is constant, it is the slope of the linear function. This fact is used in Exercises 23 and 24. In the following table, show that the average rate of change from 2 to 5 is not the same as the average rate of change from 5 to 6. This shows that the data are not linear, even though the differences in y are constant. x 1 2 5 6 y 3 6 9 12
Does the following table represent a linear function ? If so, find the linear equation that models the data.
Composing linear functions the graphs of the functions f(x)=m1x+b1 f(x)=m2x+b2 are line with cloths m1 and m2 ,respectively is the graph of fg a line ? if so ,what is its slope?
(a) Using practical examples from the field of calculus compare and contrast the concept of slope of a line and differentiation. Illustrate your understanding of these concepts by discussing and explaining possible two reasons for their differences using a practical case in mathematics.
linear function that contains the points (3,9) and (12, 12). point-slope form: slope-intercept form:
Discuss the procedure how to calculate the gradient of a line and the correlation between the independent and dependent variables given an equation of a line in the slope-intercept form. incloding :1) The equation of the line in slope-intercept form.2) The graph of the equation using the y-intercept and its slope 3) The calculation of the gradient using any two points 4) The discussion of plotting the y-intercept and the value of the slopeto trace/draw the line
Linear approximationa. Write the equation of the line that represents the linear approxima-tion to the following functions at the given point a.b. Graph the function and the linear approximation at a.c. Use the linear approximation to estimate the given function value.d. Compute the percent error in your approximation,100 |approximation - exact |/|exact |, where the exact value isgiven by a calculator
Write a formula for the linear relationships whose graphs are described below. The graph of the relationship that passes through the point (4,−15.8) and the change in yy is always -3.7 times as large as the change in x . A relationship where the constant rate of change of y with respect to x is 1/4 and passes through the point (−3/5, 2/11). The graph of the relationship between y and x that passes through the points (-5,16) and (−2,−9.6).
Algebra 2 Subject: Functions A line has slope 4/3 and intersects the y-axis at the point (0,7). The equation that corresponds to the line: -4x +3y -21= 0 4x +3y +21=0 -4x -3y -21=0 -4x +3y +21=0 A line parallel to the line 5/3x -7/6 is: 2y +5x -6= 0 3y +x -6= 0 3y - 5x +6= 0 2y -5x +6= 0 The equation of the line through the points (2, 5) and (-3, -2) is: y= 7/5x +2 7x + 5y - 11= 0 y= 7/5x + 11/5 7x - 5y - 11= 0 Of the following points, which belong to the same line? (5, 2), (-5, -1), (2, 1) (-8, -12), (6, 4), (4, 2) (4, -6), (2, -2), (-2, 8) (2, -4), (8, 8), (6, 4) The equation of the line passing through the point (2,-3) and parallel to the line joining the points (4,1) and (-2,2) is: y= 1/6x - 10/3 y= -1/6x + 8/3 y= 1/6x + 8/3 y= -1/6x - 8/3

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Graph the line with slope -3 passing through the point (4, 2). 104 40- 8- 6- 2- -8 -6 -4 4 10 6- -8