QUIZ ON LINES AND SLOPE

Problem 1 :

Find the slope of the line that passes through the points (2, 4) and (6, 12)

(a) 1/2   (b) -1/2   (c) 2   (d) -2

Solution

Problem 2 :

Find the slope of the line.

(a) -2   (b) 2   (c) -1   (d) 1

Solution

Problem 3 :

A climber is on a hike. After 2 hours he is at an altitude of 400 feet. After 6 hours, he is at an altitude of 700 feet. What is the average rate of changes ?

(a) 200   (b) 150   (c) 300   (d) 75

Solution

Problem 4 :

At what rate did the rainfall ?

(a) 2cm per hour    (b) 1/4cm per hour

(c) 1/2cm per hour   (d) 4cm per hour

Solution

Problem 5 :

Slope of parallel lines are

(a) negative reciprocals   (b) opposites

(c) the same   (d) always 7

Solution

Problem 6 :

Write the equation of the line

(a) y  =  -x - 3   (b) y  =  -3x - 1

(c) y  =  -1/3x - 1   (d) y  =  -3x - 3

Solution

Problem 7 :

y  =  3x + 2 and y  =  3x – 3

These lines are

(a) Parallel   (b) Perpendicular   (c) Neither

Solution

Problem 8 :

Write an equation for a line parallel to the line

y  =  1/3x – 4 through (-3, 2)

(a) y  =  2/3x + 3   (b) y  =  1/3x + 3

(c) y  =  -1/3x + 3   (d) y  =  -5/3x + 3

Solution

Problem 9 :

Write an equation for a line parallel to the line

y  =  5/4x + 4 through (-4, -3)

(a) y  =  5/4x + 2   (b) y  =  2x – 5/4

(c) y  =  -5/4x + 2   (d) y  =  3/4x + 2

Solution

Problem 10 :

Find the slope of the line.

(a) -3/5   (b) –5/3   (c) 3/5   (d) 5/3

Solution

Problem 11 :

Find the slope of the line.

Problem 12 :

Find the slope of the line through each pair of points.

(-20, 13), (-15, 8)

(a) 1   (b) –1/2   (c) -1   (d) 1/2

Solution

Problem 13 :

Find the slope of the line through each pair of points.

(4, -1), (0, -16)

(a) 4/15   (b) –4/15   (c) 15/4   (d) -15/4

Solution

Problem 14  :

Write the point-slope form of the equation of the line passes through (-5, 5), parallel to y  =  -7/5x + 1

(a) y + 5  =  -5(x + 5)   (b) y – 5  =  5(x + 5)

(c) y – 5  =  -7/5(x + 5)   (d) y + 5  =  3(x + 5)

Solution

Problem 15 :

Write the point-slope form of the equation of the line passes through (4, 1), parallel to y  =  1/2x - 4

(a) y - 1  =  3(x - 4)   (b) y + 1  =  -3(x - 4)

(c) y – 1  =  1/2(x - 4)   (d) y + 1  =  1/3(x - 4)

Solution

Problem 16 :

Write the point-slope form of the equation of the line passes through (1, 2), perpendicular to y  =  -6/7x + 4

(a) y + 2  =  5/6(x + 1)   (b) y - 2  =  7/6(x - 1)

(c) y + 1  =  5/6(x + 2)   (d) y + 1  =  6/5(x + 2)

Solution

Problem 17 :

Write the point-slope form of the equation of the line passes through (-3, 5), perpendicular to y  =  1/3x + 4

(a) y - 5  =  x - 3   (b) y - 5  =  -4(x + 3)

(c) y - 5  =  -3(x + 3)   (d) y + 5  =  1/4(x + 3)

Solution

Problem 18 :

A radio station is giving away 22 Taylor Swift concert tickets every hour today. The radio station has a total of 528 tickets to give away. Write an equation in standard form that expresses the number of tickets left to give away at the radio station, y , as a function of the number of hours past, x.

a)  22x + 7y = 126       b) 22x + y = 528

c) 22x - y = 528         d) 22x - y = -176

Solution

Problem 19 :

The graph to the right shows a line of best fit for data collected on the amounts of cell phone bills in relation to the number of minutes used. What is the equation of the line of best fit?

Solution

Problem 20 :

The line joining the points A (-2, 3) and B (a, 5) is parallel to the line joining the points C (0, 5) and D (-2, 1). Find the value of a.

Solution

Problem 21 :

The line joining the points A(0, 5) and B (4, 2) is perpendicular to the line joining the points C (-1, -2) and D (5, b). Find the value of b.

Solution

Problem 22 :

The vertices of triangle ABC are A(1, 8), B(-2, 4), C(8, -5). If M and N are the midpoints of AB and AC respectively, find the slope of MN and hence verify that MN is parallel to BC.

Solution

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