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WorksheetsExploring Linear Equations and Lines
Total questions: 20
Worksheet time: 13mins
What is the slope of the line represented by the equation y = 3x + 2?
3
-1
4
2
y = 2x + 1 and y = 2x - 4
are parallel;
True or False?
False
True
y = 3x + 1 and y = 2x - 4
y = 2x + 1 and y = 3x + 2
What is the slope of the line represented by the equation
2y - 4x = 8
?
-2
2
4
1/2
What's the slope of a line that is perpendicular to
y = -1/2x + 3
?
m = - 3
m = 3
m = -2/1
m = +2
Determine whether or not the two lines are parallel, perpendicular or neither.
4y = 3x + 12
-3x + 4y = 2
2y - x = 2
y = -2x + 4
y = 3x+1
y = 1/3x + 1
-2x - 4y = -8
-2x + 4y = -8
8x - 4y = 16
5y - 10x = 3
-2x - 5y = -3
-5x + 2y = 6
If two lines have slopes of 4 and -1/4,
are they perpendicular?
Yes or No?
No, the slopes are equal.
Yes, they are parallel.
No, they intersect at a right angle.
Yes
What is the equation of a line that passes through the points (1, 2) and (3, 6)?
y = 4x
y = 2x
y = x + 1
y = 3x - 1
Identify the slope of the line that passes through the points (2, 3) and (4, 7).
2
-2
3
1
Graph the equation y = 2x - 1. What is the slope?
2
-1
3
1
If the equation of a line is y = 5, what type of line is it?
It is a vertical line.
It is a diagonal line.
It is a horizontal line.
It is a curved line.
Determine if the lines y = 3x + 2 and y = 3x - 5 are parallel or perpendicular.
The lines are coincident.
The lines are intersecting.
The lines are vertical.
The lines are parallel.
What is the slope of the line represented by the equation x + 2y = 6?
-1
2
1
-0.5
Write the equation of a line in slope-intercept form with a slope of 3 that passes through the origin.
y = 2x
y = 3x
y = 0x
y = 3x + 1
In linear equation
y = -2x + 4
What is the x-intercept?
tip in x-intercept, Y =0 ALWAYS
(2, 0)
(0, 4)
(4, 0)
(0, 2)
If two lines are parallel, what can you say about their slopes?
The slopes of parallel lines are always negative.
The slopes of parallel lines are always positive.
The slopes of parallel lines are equal.
The slopes of parallel lines are perpendicular to each other.
Identify the slope of the line represented by the equation y - 4 = 2(x - 1).
1
4
-2
2
What is the equation of a line that is parallel to
y = 1/3x + 2
and passes through the point (0, 1)?
y = 1/3x + 2
y = 1/3x + 1
y = 3x + 1
y = -1/3x + 1
For the equation y = 4x + 1. The y-intercept is (a) .
If the slopes of two lines are equal, what can you conclude about the lines?
The lines intersect at a single point.
The lines are parallel
The lines have different y-intercepts.
The lines are perpendicular
Write the equation of a line that is perpendicular to y = 3x + 1 and passes through the point (1, 2).
y = -3x + 1
y = 1/3x + 5/3
y = 3x + 2
y = -1/3x + 7/3
