Slope from Points
Calculate the slope between these two points:
(-1, -5) and (1, 3)
Determine the slope of a line that is parallel to
y = -4/5x + 8
m = -4/5
Write the equation of a line whose slope is 4 and has a y - intercept of -3.
y = 4x - 3
Find the slope of the line whose equation is
x + y = −7. Fully simplify your answer.
m = -1
Two lines that have the same rate of change are said to have this type of slope.
Parallel slopes
Calculate the slope between the following two points:
(5, -6) and (-5, -2)
m = -2/5
Determine the slope of a line that is perpendicular to y = -3x + 5
m = 1/3
What is an equation of the line that passes through the point (-3 , 2) and is parallel to the line
y = 2x+4
y = -2x + 8
Find the slope of a line parallel to the line whose equation is 6x + y = −3. Fully simplify your answer.
Slope of given line: −6
Slope of a parallel given line: −6
Two lines who cross at a 90° angle are said to have this type of slope
Perpendicular slopes
(2, -5) and (5, -2)
m = 1
Determine the relationship between the following two lines:
2x + y = 4
-1/2x + y = 3
Perpendicular
What is an equation of the line that passes through the point (0, 6) and perpendicular to the line
x + y = 3.
y = x + 6
Find the slope of the line perpendicular whose equation is x + 4y = 16.
m = 4
This is the math term for two fractions (or slopes) whose signs and fractions have been reversed.
Opposite Reciprocals
Calculate the slope between the following two points:
(9, -2) and (6, -2)
m = 0
Slope of 0.
Determine the relationship between the following two lines:
y − 3x = −4
y = −3x + 1
Neither parallel or perpendicular
What is an equation of the line that passes through the point (−4,−1) and is parallel to the line
x + 2y = 4?
y = -1/2x -3
Find the slope of a line perpendicular to the line whose equation is 5x + y = −4. Fully simplify your answer.
Slope of perpendicular line: 1/5
The rate of change between two points on a graph is called this.
Slope
Calculate the slope between the following two points:
(8, 3) and (8, -2)
m = undefined
Slope is undefined. You cannot divide by zero.
Determine the relationship between the following two lines:
5y − 2x = −5
15y − 6x = −30
Parallel
What is an equation of the line that passes through the point (5,4) and is perpendicular to the line
5x + 4y = 4?
y = 4/5x
or
y = 4/5x + 0
Find the slope of a line perpendicular to the line whose equation is 6x − 10y = 140. Fully simplify your answer.
Slope of the given line: 3/5
Slope of a perpendicular line: -5/3
Write an equation that represents a line which is parallel to the x-axis?
y = any number