math
1) Find at least three ordered pairs that satisfy the following equation and graph the line through them. You may use the grid provided or create your own graph. Show all work.
2) Find at least three ordered pairs that satisfy the following equation and graph the line through them. You may use the grid provided or create your own graph. Show all work.
3) Find at least five ordered pairs that satisfy the following equation and graph the function through them. You may use the grid provided or create your own graph. Show all work.
4) Write an equation of a line through the point (-4, -3) that is parallel to the x-axis. Graph the line on the grid below or create your own graph. State the slope of this line.
6) State the domain and the range of the relation graphed below. Determine whether or not the relation is a function and explain your reasoning.
8) Given the points (-4, 3) and (5, -2):
a) Find the slope of the line through the points.
b) Write an equation in point-slope form of the line through the points.
c) Convert the equation to slope-intercept form.
d) Convert the equation to standard form, Ax + By = C, where A, B, and C are integers.
e) Graph the equation. You may use the axes provided, or create your own graph.
9) Write an equation in point-slope form of the line through the point (3, -7) perpendicular to the line with equation 4x + 5y = 15.
10) The number of Apple stores in the world has been steadily increasing. In 2009, there were 273 Apple stores worldwide. By 2014, that number had increased to 437 stores. Let y be the number of Apple stores worldwide in the year x, where x = 0 represents the year 2009.
a) Write a linear equation in slope-intercept form that models the growth in the number of Apple stores worldwide in terms of x. [Hint: the line must pass through the points
(0, 273) and (5, 437)].
b) Use this equation to predict the number of Apple stores worldwide in the year 2020.
c) Explain what the slope for this line means in the context of the problem.
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