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