Slope
What is the slope of the line below?
y = 1.8x + -5
m = 1.8
How many solutions does the following equation have?
37 = -50
No Solutions (Never True)
In slope-intercept form write the equation of a line that has a slope of -1/2 and passes through the point (0,6)
Are the following lines parallel, perpendicular, or neither?
y = 7/3x + 10
y = 7/3x - 5
Parallel
Same slope, different y-intercept
Solve for x
2(x + 13) = 50
2x + 26 = 50
2x = 24
x = 12
Find the slope of the line that passes between (2,5) and (6, 21).
Answer: 4
(21 - 5) divided by (6 - 2)
16 divided by 4
How many solutions does the following equation have?
2x + 4 = 6x - 18
One Solution
x = 5
In slope-intercept form write the equation of a line that passes through the points (0,3) and (4, 31),
1. b = 3
2. m = 7 (31 - 3 divided by 4 - 0)
Are the following lines parallel, perpendicular, or neither?
y = -2x + 8
y = 6x + 11
Parallel
Different Slopes
Convert from standard form to slope-intercept form
18x + 9y = -72
y = -2x - 8
1. 9y = -18x + -72
2. y = -2x + -8
Find the slope of the line that passes between (7,32) and (11, 43).
Answer: 11/4
(43 - 32) divided by (11 - 7)
11 divided by 4
How many solutions does the following equation have?
6(x + 4) = 6x + 16
No Solutions (Never True)
6x + 24 = 6x + 16
24 = 16
In slope-intercept form write the equation of a line that passes through the points (-2,8) and (0, 26).
y = 9x + 26
1. b = 26
2. m = 9 (26 - 8 divided by 0 - -2)
Are the following lines parallel, perpendicular, or neither?
y = -5/2x - 4
y = 2/5x - 8
Perpendicular
Opposite Reciprocal Slopes
Solve for x:
-3x + 5 = 7(x - 5)
x = 4
1. -3x + 5 = 7x - 35
2. 5 = 10x - 35
3. 40 = 10x
4. 4 = x
Find the slope of the line that passes between (-9,6) and (1, 36).
Answer: 3
(36 - 6) divided by (1 - -9)
30 divided by 10
How many solutions does the following equation have?
7(x - 5) + 11 = 9x - 10 - 2x - 14
Infinite Solutions (Always True)
7x - 35 + 11 = 9x - 10 - 2x - 14
7x - 24 = 7x - 24
Leni is going to McDonalds with $27. He is buying burgers that cost $3.50 each and fries that cost $2.25 each. Write an equation of a line that represents the different combinations of burgers and fries Leni can buy.
3.50x + 2.25y = 27
x = number of burgers
y = number of fries
Are the following lines parallel, perpendicular, or neither?
y = -7x + 11
28x + 4y = 12
Parallel
Same slope, Different y-intercepts
1. y = -7x + 11
2. y = -7x + 3
Are the following set of points a function? Yes or no and why? You must explain to receive all 400 points.
(3, 8) (-4, 11) (7, 12) (-4, 19) (16, - 30) (18, 8)
No because an x-value repeats or shows up more than once (the input of x = -4 has two different outputs)
Find the slope of the line that passes between (4,-7) and (-2, 11).
Answer: -3
(11 - -7) divided by (-2 - 4)
18 divided by -6
Using the terms coefficient and constant when does a solution have one solution, no solutions and infinite solutions?
One Solution: Different Coefficients
No Solution: Same Coefficient, Different Constant
Infinite Solutions: Same Coefficient, Same Constant
In slope-intercept form write the equation of a line that passes through the points (1,9) and (4, 15).
y = 2x + 7
1. m = 2 (15 - 9 divided by 4 - 1)
2. b = 7
Write the equation of a line that is perpendicular to
y = 8/3x + 9 and passes through the point (0,-5)
y = -3/8x + -5
m = -3/8
b = -5
Write a real-world example of two things that have a negative correlation with each other
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