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Problem 32

Graph each equation by constructing a table of values and then plotting the points. SEE EXAMPLE 2 . (OBJECTIVE 3) $$y=-\frac{1}{2} x$$

Problem 33

Write each equation in slope-intercept form to find the slope and the \(y\) -intercept. Then use the slope and \(y\) -intercept to graph the line. $$x-y=1$$

Problem 33

Graph each equation by constructing a table of values and then plotting the points. SEE EXAMPLE 2 . (OBJECTIVE 3) $$y=2 x-1$$

Problem 33

Express each inverse variation as an equation. Then find the requested value. Assume that all variables represent positive numbers. SEE EXAMPLE 2. (OBJECTIVE 2) varies inversely with \(x .\) If \(y=6\) when \(x=2,\) find \(y\) when \(x=4\).

Problem 33

Find \(f(3), f(0), f(-1),\) and the value of \(x\) for which \(f(x)=-3 x\) $$f(x)=9-2 x$$

Problem 33

Find the slope of the line that passes through the given points. $$(3,-1),(-6,2)$$

Problem 34

Graph each equation by constructing a table of values and then plotting the points. SEE EXAMPLE 2 . (OBJECTIVE 3) $$y=3 x+1$$

Problem 34

Find \(f(3), f(0), f(-1),\) and the value of \(x\) for which \(f(x)=-3 x\) $$f(x)=12+3 x$$

Problem 34

Write each equation in slope-intercept form to find the slope and the \(y\) -intercept. Then use the slope and \(y\) -intercept to graph the line. $$x+y=2$$

Problem 34

Express each inverse variation as an equation. Then find the requested value. Assume that all variables represent positive numbers. SEE EXAMPLE 2. (OBJECTIVE 2) \(V\) varies inversely with \(p .\) If \(V=60\) when \(p=12,\) find \(V\) when \(p=9\).

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