Index Card
Direct Variation Equation
What is y = mx ?
Ax + By = C
What is standard form?
The constant rate of change between the values of x and y in the table.
x -8 -4 0 4 8
y -6 -3 0 3 6
What is 3/4?
The slope and y-intercept for the graph of
y = 5x + 7
The equation, in point-slope form, that passes through ( 4, 7) and has a slope of 1/4?
(y - 7) = 1/4 (x - 4)
y = mx + b
What is slope-intercept form?
( y - y1 ) = m ( x - x1 )
What is point-slope form?
Find the constant rate of change:
x -2 -1 0 1 2
y 10 8 6 4 2
What is -2?
The slope and y-intercept for the graph of
y + 2x = - 4?
Slope = -2 and b = -4?
The equation, in point-slope form, that passes through ( 3, -6) and has a slope of 9
y + 6 = 9(x - 3)
What is slope?
Rise over Run
What is slope?
The slope of the line that passes through the points C(-5, 4) and D(7, -4)?
What is -2/3?
Sammie is having her birthday party at a game center. The center charges $80 plus $10 per guest. The total cost of the party y can be represented by the equation y = 10x + 80. What is the y-intercept?
80
The x- and y-intercepts for the graph of 7x - 3y = 42
x-intercept is 6 (6, 0)
y-intercept is -14 (0, -14)
y2 - y1
______
x2 - x1
How do you find a slope?
When trying to find the y-intercept, you change the x to this number.
What is 0?
The slope of the line that passes through the points C(0, 8) and D(-4, 2)?
What is 3/2?
Sammie is having her birthday party at a game center. The center charges $80 plus $10 per guest. The total cost of the party y can be represented by the equation y = 10x + 80. What does the y-intercept mean?
The $80 initial charge.
What is the equation in slope-intercept form for the graph of the line shown?
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The b in y=mx + b
What is the y-intercept?
When trying to find the x-intercept, you can change the given y to this number.
What is 0?
The slope of the line that passes through the points C(0, 0) and D(7, 0)?
What is zero?
Sammie is having her birthday party at a game center. The center charges $80 plus $10 per guest. The total cost of the party y can be represented by the equation y = 10x + 80. What is the slope and what does it mean?
10 - 10 per guest.
The profits from selling T-shirts at store A are shown in the graph. The profit y for selling x T-shirts at store B is represented by the equation y = 7x.
What is the slope of the graph?
What is the slope of store B?
Who makes a better profit?
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