Is it a linear function?
Slippery Slopes
Intercepts
Direct Variation
Parallel and Perpendicular
100
These kind of functions look like straight lines.
What is a linear function?
100
We use this ratio to calculate the slope of a graph.
What is rise/run?
100
This is where the graph of a line intersects the y-axis.
What is the y-intercept?
100
This is the value of k in the direct variation equation 5y = 20x.
What is 4 ?
100
These are the slopes of a line that is parallel and perpendicular to y = (3/2)x + 8 .
What are 3/2 and -2/3 ?
200
{ (1,2), (2,4), (3,8), (4,16) } is this kind of function. (linear or not linear)
What is not linear?
200
This is the slope of the line that contains (6,8) and (2,1).
What is 7/4 ?
200
This is the y-intercept of the equation y = -3x + 4.
What is (0,4) ?
200
{ (-3,-4), (2,6), (1,4) } is this kind of relationship. (direct variation or not direct variation)
What is not direct variation?
200
These are the slopes of the lines parallel and perpendicular to y = -3x + 7.
What are -3 and 1/3 ?
300
{ (-1,8), (1,6), (3,4), (5,2) } is this kind of function. (linear or not linear)
What is linear?
300
This is the slope of the line that contains (1,-1) and (-2,8).
What is -3 ?
300
This is the equation of a line in slope-intercept form with a slope of 2 and a y-intercept of 6.
What is y = 2x + 6 ?
300
y = 50x is an example of this. (direct variation or not direct variation)
What is direct variation?
300
These are the slopes of the lines that are parallel and perpendicular to y - 2x = 11.
What are 2 and -1/2 ?
400
This is an equation of the line in point-slope form that has a slope of 2 and contains the point (4,-3).
What is y + 3 = 2(x - 4)
400
This is the equation of a line in point-slope form with a slope of 3/4 that contains the point (1,-2).
What is y + 2 = (3/4)(x - 1) ?
400
This is the slope-intercept form of the equation with a slope of 5 and a y-intercept of -3.
What is y = 5x - 3 ?
400
2y = x is an example of this. (direct variation or not direct variation)
What is direct variation?
400
This is the equation of a line in slope-intercept form with a y-intercept of -3 that is perpendicular to y = (-1/2)x - 5.
What is y = 2x - 3 ?
500
This is the slope of y = (3/2)x + 8.
What is 3/2 ?
500
These are, in order, standard form, slope-intercept form, and point-slope form for linear equations.
What are Ax + By = C, y = mx + b, and y - y1 = m(x - x1) ?
500
This is the x-intercept of 4y - x = 10.
What is (-10,0) ?
500
The real-world problem "Christian makes $8 for every hour of work." can be modeled by this direct variation equation.
What is y = 8x ?
500
This is the slope-intercept form of the equation of a line that contains (-2,5) and that is perpendicular to y = x + 3.
What is y = -x - 7 ?
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