Solve For Y
Finding Slope
Y -Intercepts
Properties
Solving Equations
Slope
100
The slope-intercept form (also known as y=) of
4y = 8x -12
y = 2x - 3
100
The slope of the equation y = -5x - 3
slope = -5
100
The y-intercept of the equation y = 7x - 4
y-int = -4
100
Which property is this an example of:
3x + 10 = 10 + 3x
Commutative Property of Addition
100
Solve for x:
3x + 10 = 22
x = 4
100
In the equation y = 3x + 7
What is the slope?
slope = 3
200
The slope intercept form of 6x + 3y = -15
y = -2x - 5
200
The slope of the equation y = 7/5x + 7
slope = 7/5
200
What is the y intercept of this line?
y-int = 5
200
(5 + 3) + 7 = 5 + (3 + 7)
Associative Property of Addition
200
Solve for x:
3(x + 5) = 33
x = 6
200
What is the slope of the line graphed above?
slope = -5/3
300
The slope-intercept form of 10x - 2y = -18
y = 5x + 9
300
The slope of the equation y = 3x - 1/2
slope = 3
300
The y-intercept of the equation 8x - 2y = 16
y-int = -8
300
Charlie subtracted 5 from both sides of an equation. This is an example of which property?
Addition Property of Equality
300
Solve for x:
-3(x - 7) = -45
x = 22
300
In the equation y = 8 + 1/2x
What is the slope?
slope = 1/2
400
The slope-intercept form of 5x + 3y = -15
y = -5/3x - 5
400
The slope of the line represented by the equation
y - 2x = 3(x - 3)
slope = 5x
400
y-int = -7
400
A teacher asked the class to solve the equation
3(x + 2) = 21.
Robert wrote 3x + 6 = 21 as his first step.
Which property did he use?
The Distributive Property
400
Solve for x:
4x + 10 = 3x - 8
x = -18
400
In the equation 2y = 4x + 10
What is the slope?
slope = 2
500
The slope-intercept form of 2y - 4 = 6(x - 1)
y = 3x - 1
500
The slope of the line containing the points (1, 5) and (10, 2)
slope = -3/9 = -1/3
500
The average cost of tuition at a community college was $3,475 in 2005 and the cost increased linearly to $4,375 in 2017. If we let x be the number of years since 2000 and let y be the cost of tuition the relationship can be modeled by y = 75x + 3100.
What does the y-intercept MEAN in context of the problem?
In the year 2000, the tuition was $3,100
500
When solving for the value of x in the equation
4(x - 1) + 3 = 18, Aaron wrote the following lines on the board.
[line 1] 4(x - 1) + 3 = 18
[line 2] 4(x - 1) = 15
[line 3] 4x - 1 = 15
[line 4] 4x = 16
[line 5] x = 4
Which property was used incorrectly when going from line 2 to line 3?
The Distributive Property
500
Solve for x:
2(2x + 10) - 3x = 4(x + 7) - 2x
x = -8
500
In the equation 3x + 4y = 34
What is the slope?
slope= -3/4