Question 1
Find the constants m and b in the linear function f(x) = mx + b so that f(1) = 2 and the straight line represented by f has slope – 1.
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Question 2
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No solution
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Question 3
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x = 16, y = 0, z = 16, t = 0, u = 80, v = 21, w = 61, P = 180
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x = 0, y = 16, z = 0, t = 0, u = 80, v = 21, w = 61, P = 96
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x = 80, y = 16, z = 0, t = 0, u = 0, v = 21, w = 61, P = 68
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x = 80, y = 0, z = 0, t = 16, u = 80, v = 21, w = 61, P = 174
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Question 4
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Question 5
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No solution
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Question 6
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No solution
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Question 7
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Question 8
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Question 9
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infinitely many solutions
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no solution
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Question 10
Metro Department Store’s annual sales (in millions of dollars) during 5 years were
| Annual Sales, y | 5.8 | 6.1 | 7.2 | 8.3 | 9 |
| Year, x | 1 | 2 | 3 | 4 | 5 |
Plot the annual sales (y) versus the year (x) and draw a straight line L through the points corresponding to the first and fifth years and derive an equation of the line L.
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Question 11
If the line passing through the points (2, a) and (5, – 3) is parallel to the line passing through the points (4, 8) and (- 5, a + 1) , what is the value of a?
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Question 12
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Question 13
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y is not a linear function of x.
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Question 14
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Question 15
Determine whether the equation defines y as a linear function of x. If so, write it in the form y = mx + b. 8x = 5y + 9
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y is not a linear function of x.
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Question 16
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( 0, 2 )
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( 8, 2 )
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( 4, –6 )
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( –2, 4 )
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( 4, –2 )
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Question 17
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The matrix is in row-reduced form.
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The matrix is not in row-reduced form.
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Question 18
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Question 19
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Question 20
Find the slope of the line that passes through the given pair of points.
(2, 2) and (8, 5)
(2, 2) and (8, 5)
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Question 21
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( 7, –3 )
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( 6, –2 )
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( 2, –6 )
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( –6, 2 )
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( –7, –2 )
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Question 22
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Question 23
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Question 24
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Question 25
Find an equation of the line that passes through the points (1, 4) and ( -7, -4)
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