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Chapter 1: Problem 37
Find an equation of the line that has slope \(m\) and \(y\) -intercept \(b\). $$ m=0 ; b=5 $$
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Determine whether the statement is true or false. If it is true, explain why it is true. If it is false, give an example to show why it is false. A data point lies on the least-squares line if and only if the vertical distance between the point and the line is equal to zero.
Find an equation of the line that has slope \(m\) and \(y\) -intercept \(b\). $$ m=-\frac{1}{2} ; b=\frac{3}{4} $$
The line with equation \(A x+B y+C=0(B \neq 0)\) and the line with equation \(a x+b y+c=0(b \neq 0)\) are parallel if \(A b-a B=0 .\)
For each supply equation, where \(x\) is the quantity supplied in units of 1000 and \(p\) is the unit price in dollars, (a) sketch the supply curve and (b) determine the number of units of the commodity the supplier will make available in the market at the given unit price. $$ 3 x-4 p+24=0 ; p=8 $$
If the slope of the line \(L_{1}\) is positive, then the slope of a line \(L_{2}\) perpendicular to \(L_{1}\) may be positive or negative.
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