Mathematics for Management -- Supplementary Electronic Materials

Quiz: Lines & Linear Functions

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1. Choose the correct \(x\)-intercept point for the line \(2x - 3y = -10\).

\( (-5, 0) \) \( (0, -5) \) \( (0, \frac{10}{3}) \) \( (\frac{10}{3}, 0) \)

2. Choose the correct \(y\)-intercept point for the line \(2x - 3y = -10\).

\( (-5, 0) \) \( (0, -5) \) \((0, \frac{10}{3}) \) \( (\frac{10}{3}, 0) \)

3. The table below resulted from a linear function. What is the correct slope \(m\) of this function? \( \begin{array}{c || c c c c} x & 1 & -4 & -3 & 2 \\ \hline y & 3 & 3 & 3 & 3 \end{array} \)

\( m = 0 \) \( m = \) undefined \( m = 5 \) no slope

4. The table below resulted from a linear function. What is the correct slope \(m\) of this function? \( \begin{array}{c || c c c c} x & 1 & 3 & 7 & -1 \\ \hline y & -1 & 2 & 8 & -4 \end{array} \)

\( m = \frac{2}{3} \) \( m = \) undefined \( m = \frac{3}{2} \) no slope

5. Write an equation for the line in point-slope form given that it has slope \(m = 4\) and passes through the point \((-3,7)\).

\( y + 7 = 4(x-3) \) \( y - 7 = 4(x+3) \) \( y = 4x + 19 \) \( x - 7 = 4(y+3) \)

6. Write an equation for the line in slope-intercept form given that it has slope \(m = -3\) and passes through the point \((-5,3)\)

\( y = -3x + 12 \) \( y = -3x - 12 \) \( y - 3 = -3x + 5 \) \( y - 3 = x + 5 \)

7. Write an equation for the line in point-slope form given that passes through the points \((5,8)\) and \((3,4)\).

\( y + 8 = 2(x+5)\) or \(y + 4 = 2(x+3) \) \( y - 8 = 2(x-5)\) or \(y - 4 = 2(x-3) \) \( y - 8 = 2(x-3)\) or \(y - 4 = 2(x-5) \) \( y - 8 = 5(x+5)\) or \(y - 4 = 3(x-8) \)

8. Which two lines are parallel?

\( y = 3x + 2\) and \(y = 2x + 2 \) \( y = 3x - 4\) and \(y = x + 5 \) \( y = x\) and \(y = 5 \) \( y = 0\) and \(y = 2 \)

9. Which two lines are parallel? Write an equation (point-slope form) for the line passing through the point \((4,3)\) and parallel to the line whose equation is \(y = 2x - 6 \)

\( y - 3 = x - 4 \) \( y - 4 = 2(x - 3) \) \( y = 2x \) \( y - 3 = 2(x - 4) \)

10. Write an equation (point-slope form) for the line passing through the point \((5,3)\) and perpendicular to the line whose equation is \(y = 2x + 7 \)

\( y = - 2x - 11 \) \( y - 3 = -\tfrac{1}{2}(x-5) \) \( y - 5 = \tfrac{1}{2}(x-3) \) \( y - 3 = \tfrac{1}{2}(x+5) \)

Your grade is: __ of 10

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Solution: 1a; 2c; 3a; 4c; 5b; 6b; 7b; 8d; 9d; 10b

Here, a, b, c, d indicate the 1st, 2nd, 3rd, and 4th answer choice, respectively, for the numbered questions.