8th Grade Math Unit 5 - Analyzing Linear Equations

Find the slope for the linear equation that passes through the following pair of points:
( 3/4, 2 3/4 ), ( - 1/4, - 3 1/4 )

m = __________

Review Graphing Linear Equations
What is the slope of a line that passes through the origin and ( a, b )

m = __________
1. b/a
If the slope of a line is - 3/5, and the line passes through the points ( t, 5) and ( - 3, t ), what is the value of t?

t = _________
The slope of a line passing through the points ( 10, - 4 ) and (10, - 20) is:

Review Coordinate Plane
1. positive
2. negative
3. zero
4. undefined
the slope of a line passing through points ( q, r ) and ( s, t ) is:

Review Coordinate Plane
1. ( r - t ) / ( q - s )
2. ( s - q ) / ( t - r )
3. ( t - r ) / ( s - q )
4. ( q - s ) / ( r - t )
Assuming y varies directly as x, write a direct variation equation that relates x and y given the following, and then solve for y:

If y = - 5.6 when x = 14.4, find y when x = - 7.2

y = ________
Assume your new puppies weight, w, increases constantly each month, m, after she was born. If you puppy weighs 42 pounds at 6 months, how much will she weigh when she is 11 months old?
1. 66 pounds
2. 77 pounds
3. 107 ponds
4. 54 pounds
Which equation below is not a model of a direct variation?
1. y = 5x
2. y = - 7x
3. y = 3 x - 9
4. y = 2/3 x
Write an equation for the line shown in the following graph:

Review Equations in the Slope-Intercept Form
1. y = x
2. y = x + 1
3. y = x - 1
4. y = 2x - 1
The following is the graph of 9x - 3y = 15
1. True
2. False
Which equation does not have a y-intercept of 7
1. 3x + y = 7
2. y = x + 7
3. 2x - y = 7
4. 2x = y - 7
Write an equation that passes through the following pair of points:

Which equation below is correct?
1. y = 1.8 x - 1.4
2. y = - 1.4 x + 1.8
3. = 1.4 x - 1.8
4. y = - 1.8 x + 1.4
Which equation below is the equation for the following pair on intercepts:

x-intercept: 3, y-intercept: - 9
1. y = 9x - 3
2. y = 3x + 9
3. y = 3x - 9
4. 3y = x - 9
Which equation below is the equation for the line with a slope of 2/3 through ( - 6, 3)
1. y = 2/3 x + 7
2. y = 2/3 x - 7
3. y = 7x + 2/3
4. y = 2/3 x -1
Which equation below is the standard form of the following equation?

y - 3 = - 3.5 ( 2x - 4 )
1. y + 7x + 17 = 0
2. y + 7x = 17
3. y = - 7x + 17
4. y + 17 x = 7
Which equation below is the slope-intercept form of the following equation:

y + 3/4 = - 5( x + 1/2)
1. y = 5x + 13/4
2. y = - 5x - 7/4
3. y = - 5x - 13/4
4. y = 5x + 7/4
The following equation represents a line that neither passes through ( 0, 2) nor has a slope of 5:
8x - 2y = - 12
1. True
2. False
The equation of a horizontal line that has a y-intercept of - 4.5 is:
1. x + 4.5 = 0
2. y - 4.5 = 0
3. y = x - 4.5
4. y + 4.5 = 0
Write the slope-intercept for of an equation that passes through the point ( 3, 3 ) and is parallel to the graph of the following equation:

2x - 6 y = - 12
Write the slope-intercept for of an equation that passes through the point ( - 2, 7 ) and is perpendicular to the graph of the following equation:

4y + 8x = - 2

Which equation below is it?
1. y = - 1/2 x + 8
2. y = 1/2 x + 8
3. y = 2x + 8
4. y = -2 x + 8
The slopes of the graphs of the following two equations are:

4y = 3x + 17
4x + 3y = 9
1. parallel
2. perpendicular
3. neither
What is the slope of the line perpendicular to the graph of:

5x + 6y = - 12
How can the graph of y = - 2x + 5 be used to graph y = - 2x + 3?
1. Change the slope of the graph from 5 to 3.
2. Move the graph of the line to the right 2 units.
3. Move the graph of the line to the left 2 units.
4. Change the y-intercept from 5 to 3.
The following scatter plot represents what kind of a relationship between x and y?
1. positive
2. negative
3. no relationship