Math Knowledge Cards

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Concept
Concept
The point with coordinates (0, 0) is
called the _________________.
For any value y, the point (0, y) lies on
the ___-axis..
Concept
Concept
To find the x−intercept of a line, we let
__ = 0 and solve for ___.
The equation ___ = 7 has a vertical line
as its graph.
Concept
Concept
To graph a straight line, we must find a
minimum of ___ points .
Determine the quadrants in which the point (x, y)
may lie when y < 0.
Concept
Concept
Can the point−slope form of the
equation of a straight line be used to
write an equation of a vertical line?
Explain.
If one line has a slope of 4 and another
line has a slope of 8, which line is
steeper?
Concept
Concept
To find the y−intercept of a line, we let
__ = 0 and solve for ___.
The equation ___ = 7 has a horizontal
line as its graph.
Solve
Solve
Find the slope of the line through the
points (2, 5) and (3, 6)
Determine the y−value for the point on
the line, 2x − 3y = 11, which has an
x−value of 7.
Solve
Solve
Find the intercepts of 3x − 4y = 24.
Find the slope of the line 5x − 20 = 30
Solve
Find the slope and y−intercept of the
line 8x + 2y = 16.
Solve
Find the equation for the line through
the point (0, 12) with a slope of 6.
Solve
Solve
Find the equation for the line through
the points (0, 6) and (2, 4).
Find the equation of the line through
the points (6, −2) and (4, 4).
Solve
Solve
Determine if the lines are parallel,
perpendicular, or neither.
2x − y = 8 and y = 2x + 7
Determine if the lines are parallel,
perpendicular, or neither.
8x + 2y = 8 and y = 4x − 3
Graph
Graph
Graph the line through the points (2, 5)
and (3, 6)
Graph the line x = 7
8
y
7
6
6
5
(3,6)
(2,5)
5
4
4
3
3
2
2
1
1
-1
y
8
7
x
1
2
3
4
5
6
x
-1
1
2
3
4
5
6
7
7
Graph
Graph
Graph by finding intercepts. y = 3x − 6
Graph the line y = −3
2
y
1
-3 -2 -1
2
(2,0)
3
4
5
1
x
6
-3 -2 -1
-2
-3
1
-1
2
3
4
5
6
-2
-4
-3
-5
-6
y
2
x
1
-1
-4
(0,-6)
-5
-6
Graph
Graph
Graph the straight line through the
point (2, −1) with a slope of −2.
Graph the line that is parallel to
y = 3x − 4 and has a y−intercept of 2.
4
y
4
3
3
2
2
1
-3 -2 -1
-1
1
2
3
4
(2,-1)
5
x
1
6
-3 -2 -1
-1
2
3
4
5
6
-3
(3,-3)
-3
-4
-4
-5
-5
Graph
Graph
Find the slope of the line.
Graph the line that is perpendicular to
y = 3x − 4 and has a y−intercept of −2.
4
y
3
2
1
-3 -2 -1
-1
y
x
1
2
3
4
5
6
-2
3
2
-3
1
-3 -2 -1
-1
x
1
-2
-2
4
y
1
2
3
4
5
x
-4
6
-5
-2
-3
-4
-5
Graph
Graph
Find the equation of the line.
y
5
5
4
4
2
2
1
1
-2
(4,3)
3
3
-1
(6,7)
6
6
-3 -2 -1
Find the equation of the line.
y
7
x
x
1
2
3
4
5
6
-2 -1
-1
1
2
3
4
5
6
7
Miscellaneous
Miscellaneous
Find the slope of the line through the
points (2, 5) and (3, 6)
Determine the y−value for the point on
the line, 2x − 3y = 11, which has an
x−value of 7.
Miscellaneous
Miscellaneous
Find the intercepts of 3x − 4y = 24.
Find the slope of the line 5x − 20 = 30
Miscellaneous
Find the slope and y−intercept of the
line 8x + 2y = 16.
Miscellaneous
Find the equation for the line through
the point (0, 12) with a slope of 6.
Miscellaneous
Miscellaneous
Find the equation for the line through
the points (0, 6) and (2, 4).
Find the equation of the line through
the points (6, −2) and (4, 4).
Miscellaneous
Miscellaneous
Determine if the lines are parallel,
perpendicular, or neither.
2x − y = 8 and y = 2x + 7
Determine if the lines are parallel,
perpendicular, or neither.
8x + 2y = 8 and y = 4x − 3
Miscellaneous
Miscellaneous
Find the slope of the line through the
points (2, 5) and (3, 6)
Determine the y−value for the point on
the line, 2x − 3y = 11, which has an
x−value of 7.
Graph
Graph
Find the intercepts of 3x − 4y = 24.
Find the slope of the line 5x − 20 = 30
Solve
Find the slope and y−intercept of the
line 8x + 2y = 16.
Solve
Find the equation for the line through
the point (0, 12) with a slope of 6.
Concept
Concept
Find the equation for the line through
the points (0, 6) and (2, 4).
Find the equation of the line through
the points (6, −2) and (4, 4).
Concept
Miscellaneous
Determine if the lines are parallel,
perpendicular, or neither.
2x − y = 8 and y = 2x + 7
Determine if the lines are parallel,
perpendicular, or neither.
8x + 2y = 8 and y = 4x − 3
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