Southridge Linear Equations
through (-5,2), parallel to y = -4/5x + 4
y=-4/5x -2
The equation of a horizontal line passing through (-2,4)
y=4
horizontal lines have
zero slopes
Slope = 5/3, y intercept = -4 in slope intercept form
y = 5/3x - 4
Perpendicular lines
Lines that intersect at a 90 degree angle
Parallel Lines
Lines that never intersect
Positive Slope
What type of slope does the graph's function represent?
Undefined Slope
What type of slope does the graph's function x=2 represent?
0
What type of slope does the graph's function y=-3 represent?
Point slope form of equation given a slope of -4, passing through (-5,2)
(y-2) = -4(x+5)
Point slope form of equation given a slope of 1/5, passing through (4,2)
(y-2) = 1/5(x-4)
negative reciprocal of 5
-1/5
The slope of a line passing through (0,-4) and (5,6)
-2/5
negative reciprocal of 1/4
-4
negative reciprocal of 4/5
-5/4
negative reciprocal of -3
1/3
Opposite reciprocal of -5
1/5
The slope of a line passing through (4,6) and (-2,5)
1/6
10-x
10 minus a number
15x
15 times a number
x-2
2 less than a number
negative reciprocal of -2/5
5/2
x+8
8 more than a number
x-16
A number decreased by sixteen
x+2
A number increased by two.
Perpendicular
Determine if the line AC and line BD are parallel, perpendicular or neither. A(4,1), B(5,2) and C(4,2), D(5,1)
Neither
Determine if the line AC and line BD are parallel, perpendicular or neither. A(4,1), B(6,2) and C(4,3), D(5,1)
2x+5
Double a number increased by five
Parallel Slopes
Exact same slope
-1/2 and 1/2 are the same slope
False
All lines that intersect are perpendicular
False
m = -7/6
Find the slope of a line that is perpendicular to the line that is created by the points (-2,1) and (5,7)
m = 1
Find the slope of line FG if F(1,1) and G(2,2)
m = 2/3
Find the slope of line FG if F(1,6) and G(-2,4)
1
Find the slope of line that goes through the points (1,1) and (2,2)
m = -1/5
Find the slope of the line that is perpendicular a line with the slope of 5
-1/5
Find the slope of the line that is perpendicular to a line with the slope of 5
1/2x + y = 6 and y = 1/2x +4
Neither Parallel Nor Perpendicular
Perpendicular slopes
Opposite Reciprocal slopes
3x + 4y = 6 and y = -3/4x -4
Parallel Lines
y = 3/4x -2 and y = 3/4x + 5
Parallel Lines
2y = 3x +4 and y = -2/3x -7
Perpendicular Lines
y = -1/3x +2 and y = 3x-6
Perpendicular Lines
Which quadrant is (2, 3) in?
Quadrant I
Which quadrant is (-2, 3) in?
Quadrant II
Which quadrant is (-2, -3) in?
Quadrant III
Which quadrant is (2, -3) in?
Quadrant IV
x+6
Six more than a number
y = 2/3x
Slope of 2/3, y intercept of 0
Run
The difference in the x-values of two points on a line
Rise
The difference in the y-values of two points on a line
2x-5
The difference of twice a number and five
Slope-Intercept Form
The formula y=mx+b is referred to as:
9x
The product of nine and a number
9÷x
The quotient of nine and a number
x²+10
The sum of a number squared and ten
x/2+4
The sum of half a number and four
3x+12
Triple a number increased by twelve
All vertical and horizontal lines are perpendicular
True
-lines that never intersect -same slope -different y-intercepts
What are parallel lines?
lines whose slopes are opposite and flipped; lines that intersect to form a 90-degree angles
What are perpendicular lines?
The steepness of a line on a graph
What is the definition of slope?
-10
What is the slope of a line that is parallel to y = -10x + 3
-2/3
What is the slope of a line that is parallel to y = -2/3x + 12
-7/2
What is the slope of a line that is parallel to y = -7/2x + 6
1/3
What is the slope of a line that is parallel to y = 1/3x - 8
4
What is the slope of a line that is parallel to y = 4x + 1
undefined
What is the slope of a line that is parallel to x=3
-3
What is the slope of a line that is parallel to y = -3x
-2
What is the slope of a line that is perpendicular to 2x -4y = 9
4/3
What is the slope of a line that is perpendicular to 3x + 4y = 12
-1
What is the slope of a line that is perpendicular to y = x - 3
5/3
What is the slope of a line that is perpendicular to 3x + 5y = 7
3
What is the slope of a line that is perpendicular to y = -1/3x + 2
1/2
What is the slope of a line that is perpendicular to y = -2x + 7
Negative Slope
What type of slope does the graph's function represent?
x-12
a number decreased by 12
x/2
a number divided by 2
x+10
a number increased by 10
b
b stands for y-intercept
2x
double a number
Parallel lines have
equal slopes
m
m stands for slope
Perpendicular lines have
negative reciprocal slopes
slope
rise over run
x -(-4)
same as x + 4
undefined slope
slope that goes up and down on a graph or algebraically a slope that has 0 on the bottom
slope
steepness of a line
x-10
the difference of a number and ten
10x
the product of 10 and x
2x+3
the sum of a doubled number and 3
The point (0,-6) is
the y intercept of -6
The point (0,4) is
the y intercept of 4
x+3
three more than a number
3x
triple a number
vertical lines have
undefined slopes
Slope = undefined, through the point (-3, 0)
x = -3
through (-3,2), parallel to x = 4
x = -3
through (-3,3), perpendicular to y = 1
x = -3
The equation of a vertical line passing through (8,-4)
x = 8
Slope = -2, passes through point (4,-6) in point slope form
y + 6 = -2 (x - 4)
Slope = 2/3, passes through point (-5,4) in point slope form
y - 4 = 2/3(x + 5)
Slope intercept form of equation given a slope of -4 and y-intercept of -2
y = -4x-2
Slope = -8 and y intercept = 5
y = -8x + 5
through (-2,2), perpendicular to y = -2x
y = 1/2x + 3
through (4,0), parallel to y = 1/4x -3
y = 1/4x-1
Slope intercept form of equation given a slope of 2/3 and y-intercept of 5
y = 2/3x+5
Slope = 2/7, y intercept = 5 in slope intercept form
y = 2/7x + 5
through (0,-2) and (4,1) in slope intercept form
y = 3/4x - 2
Slope = 0, y intercept = 4
y = 4
through (5,4), parallel to y = -3
y = 4
Slope = 4/3, y intercept = 3
y = 4/3x + 3