WorksheetsAviation Math - REVISION - CHAP4 - Lesson 4.2
Total questions: 50
Worksheet time: 27mins
Find the slope of the line shown in the graph.
-1/3
1/2
2
-2
Find the slope of the line shown in the graph.
3
1
-1
0
Find the slope of the line through the given points. (8, 10) and (-7, 14).
-4/15
2/3
4/15
-2/3
Find the slope of the line through the given points. (-3, 1) and (-17, 2).
1/14
-1/14
14
-14
Find the slope of the line through the given points. (-18, -20) and (-18, -15).
undefined
0
1
-1
Find the slope of the line through the given points. (12, -18) and (11, 12).
-30
30
-15
15
Find the slope of the line, y = -5x - 1.
-5
1
5
-1
Find the slope of the line, y = (1/3)x - 4.
1/3
-4
3
0
Find the slope of each line, x = 1.
undefined
0
1
-1
Find the slope of the line, y = -x + 2.
-1
0
1
2
Find the slope of each line, 2x + 3y = 9.
-2/3
2/3
3/2
-3/2
Find the slope of each line, -5x + 2y = 6.
-5/2
2/5
5/2
-2/5
Write the equation of the line in SLOPE-INTERCEPT FORM.
y = -x/2 + 1
y = x/2 + 2
y = -2x + 1
y = -x - 1
Write the equation of the line in SLOPE-INTERCEPT FORM.
y = 3x/2
y = -3x/2 + 1
y = 2x/3 + 2
y = -x/2 - 1
Find the slope of the line passing through (-8, -4) and (-4, -9).
Slope = (-9 - (-4)) / (-4 - (-8)) = (-5) / 4 = -5/4
Slope = (-4 - (-9)) / (-8 - (-4)) = (5) / (-4) = -4/5
Slope = (-9 - (-4)) / (-8 - (-4)) = (-5) / (-4) = 5/4
Slope = (-4 - (-9)) / (-4 - (-8)) = (5) / (4) = 13/12
Find the slope of the line passing through the points (9, 4) and (-6, 4).
0
1
-1
undefined
Tell whether the given slope is positive, negative, zero or undefined.
negative
positive
zero
undefined
Tell whether the given slope is positive, negative, zero or undefined.
undefined
positive
negative
zero
Tell whether the given slope is positive, negative, zero or undefined.
positive
negative
zero
undefined
Tell whether the given slope is positive, negative, zero or undefined.
zero
positive
negative
undefined
For the linear equation y = 4x - 5, identify the slope (m) and the y-intercept (b).
Slope (m): 4; Y-intercept (b): -5
Slope (m): -5; Y-intercept (b): 4
Slope (m): 5; Y-intercept (b): -4
Slope (m): -4; Y-intercept (b): 5
For the linear equation 6 - (9/2)x = y, identify the slope (m) and the y-intercept (b).
Slope (m): -9/2; Y-intercept (b): 6
Slope (m): 6; Y-intercept (b): -9/2
Slope (m): 9/2; Y-intercept (b): 6
Slope (m): -6; Y-intercept (b): 9/2
For the linear equation y = (5/2)x - (19/8), identify the slope (m) and the y-intercept (b).
Slope (m): 5/2; Y-intercept (b): -19/8
Slope (m): -5/2; Y-intercept (b): 19/8
Slope (m): 2/5; Y-intercept (b): -8/19
Slope (m): 5/2; Y-intercept (b): 19/8
For the linear equation -(5/4) - (2/7)x = y, identify the slope (m) and the y-intercept (b).
Slope (m): 2/7; Y-intercept (b): -5/4
Slope (m): -2/7; Y-intercept (b): -5/4
Slope (m): 2/7; Y-intercept (b): 5/4
Slope (m): -2/7; Y-intercept (b): 5/4
Write the point-slope form of the equation of the line through the given point with the given slope.
(4, -4) and m = -2.
y + 4 = -2(x - 4)
y - 4 = 2(x + 4)
y - 4 = -2(x + 4)
y + 4 = 2(x - 4)
Write the point-slope form of the equation of the line through the given point with the given slope.
(-5, 5) and m = 0.
y - 5 = 0(x + 5) or y = 5
y + 5 = 0(x - 5) or y = -5
y - 5 = 5(x + 0) or y = 5x + 0
y + 5 = 0(x + 5) or y = 5
Write the point-slope form of the equation of the line through the given points.
(-1, 4) and (-4, 2)
y - 4 = (2/3)(x + 1)
y - 2 = (3/2)(x + 4)
y + 1 = (2/3)(x - 4)
y - 4 = (3/2)(x + 1)
Write the point-slope form of the equation of the line through the given points.
(-2, -3) and (5, -3)
Slope = (-3+3)/(5+2) = 0/7 = 0; y + 3 = 0(x + 2) or y = -3
Slope = (5+2)/(-3+3) = 7/0; x + 2 = 0(y + 3) or x = -2
Slope = (-3-5)/(-2+3) = -8/1 = -8; y + 3 = -8(x + 2)
Slope = (5-(-2))/(-3-(-3)) = 7/0; x - 5 = 0(y + 3) or x = 5
Write the point-slope form of the equation of the line with given slope and y-intercept.
Slope = 8, y-intercept = 5
y - 5 = 8(x - 0)
y - 0 = 8(x - 5)
y + 5 = 8(x + 0)
y - 8 = 5(x - 0)
Write the point-slope form of the equation of the line with given slope and y-intercept.
Slope = -2, y-intercept = 5
y - 5 = -2(x - 0)
y + 5 = -2(x + 0)
y - 0 = -2(x - 5)
y - 5 = 2(x - 0)
Write the slope-intercept form of the equation of the line with given slope and y-intercept.
Slope = -5, y-intercept = 5
y = -5x + 5
y = 5x - 5
y = 5x + 5
y = -5x - 5
Write the slope-intercept form of the equation of a line passing through points (-4,2) and (0,-2).
y = -1x - 2
y = 1x + 2
y = 2x - 4
y = -2x + 4
Write the slope-intercept form of the equation of a line passing through points (-2,-2) and (2,2).
y = x
y = 2x
y = -x
y = x + 2
Determine whether the pairs of slopes listed are parallel, perpendicular or neither.
m = 2, m = -1/2
Perpendicular
Parallel
Neither
Coinciding
Determine whether the pairs of slopes listed are parallel, perpendicular or neither.
m = 3, m = -3
Neither
Parallel
Perpendicular
Cannot be determined
Determine whether the pairs of slopes listed are parallel, perpendicular or neither.
m = -4, m = -1/4
Neither
Parallel
Perpendicular
Cannot be determined
Determine whether the pairs of slopes listed are parallel, perpendicular or neither.
m = 10, m = -0.1
Perpendicular
Parallel
Neither
Coinciding
Determine whether the pairs of slopes listed are parallel, perpendicular or neither.
m = 4/5, m = 8/10
Parallel
Perpendicular
Neither
Coinciding
Determine whether the pair of lines listed is parallel, perpendicular or neither.
y = (1/4)x - 3
y = -4x + 3
The lines are parallel.
The lines are perpendicular.
The lines are neither parallel nor perpendicular.
The lines are overlap.
Determine whether the pair of lines listed is parallel, perpendicular or neither.
3x + y = 5
y = (1/3)x + 2
Parallel
Perpendicular
Neither
Coinciding
Write each equation in standard form using integers.
y = 3x + 1
3x - y = -1
3x + y = 1
y - 3x = 1
y + 3x = 1
Write each equation in standard form using integers.
y = 4x - 7
4x - y = 7
4x + y = 7
y - 4x = 7
y + 4x = 7
Write each equation in standard form using integers.
y = (1/2)x - 3
x - 2y = 6
x + 2y = 6
2x - y = 6
x - 2y = -6
Write each equation in standard form using integers.
y = (2/3)x + 5
2x - 3y = -15
2x + 3y = 15
3x - 2y = -15
2x - 3y = 15
Write each equation in standard form using integers.
y = -(3/4)x - 4
3x + 4y = -16
3x - 4y = -16
4x + 3y = -16
3x + 4y = 16
Write each equation in standard form using integers.
y = -(4/5)x - 7
4x + 5y = -35
4x - 5y = -35
5x + 4y = -35
4x + 5y = 35
Write the given equation in standard form using integers.
y = (7/2)x + (1/4)
14x - 4y = -1
7x - 2y = 1
14x + 2y = 1
7x + 4y = -1
Write each equation in standard form using integers. 14) y = -(2/5)x + (1/10) Fill in the blank with the equation in standard form.
4x + 10y = 1
2x - 5y = 1
5x + 2y = 1
2x + 5y = 10
Write each equation in standard form using integers.
y = -3x
3x + y = 0
y = -3x
y = 3x
3x - y = 0
