Graphing Using intercepts
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Linear Functions and Equations
Slope-Intercept Form Category
Direct Variation and Linear Family
100
2 and -2/5 are these in this equation y=5x+2
What are the x and y intercepts?
100
Does this graph represent a function?.....
What is No?
100
Write this equation in standard form...y=4x+6
What is -4x + y = 6 (Ax+By=C is standard form of an equation. Intercepts can sometimes be easily found when equation is in this form.)
100
Slope intercept form of a line
What is y=mx+b
100
In order for a linear equation to be called a direct variation, the line must do this.
What is go through the origin (0,0)?
200
The x and y intercepts of this graph....
What is 5 and 4?
200
Type of slope pictured here......
What is negative slope?
200
The equation f(x)=mx+b is a form of writing an equation that is called----------?
What is Function Notation?
200
Write given equation in slope-intercept form: 6x +18y =36
What is y=-1/3x +2
200
Name for slope in a direct variation
What is constant of variation?
300
The x and y intercepts for the equation 150=3/5x + 5y
What is 250 and 30?
300
Change this equation into slope-intercept form...x=5y
What is y=1/5x
300
Graph the equation -3x +5y =30
What is ....
300
Slope and y-intercept of the equation -20x -140y =240
What is m=-1/7 and b=-3
300
What is different in these two functions? f(x)=40x+155 g(x)=40x+75
What is the y-intercept?
400
Type of line that doesn't have a y-intercept
What is a vertical line?
400
Slope and y-intercept of y=x/5
What is m=1/5 and b=0?
400
Which ordered pair is NOT a solution of 4/3x - y =12? (6, -4) (3, -8) (12, -4) (-3, -16)
What is (12, -4)?
400
An equation of a line that is parallel to y=2x+3 and a direct variation
What is y=2x
400
Type of lines given by the following functions: f(x)=40x+155 g(x)=40x+75
What are parallel lines?
500
Choose the graph that represents a line with x-intercept of 0 and y-intercept as all real numbers.......
What is choice A?
500
Triangle ABC has points of (-2,0), (0,5) and (2,0). Find the coordinates of triangle A'B'C' when (x,y)---> (1/2x,y)
What is A' (-1,0), B' (0,5) and C' (1,0)
500
Which equation is NOT linear? 3x+15y=45 y=3x y=7x^2 +14 24y-22=4x
What is y=7x^2 +14 (quadratic)
500
Meaning of the constant term (y-int) and the coefficient of the variable term (the slope) of the equation given: The population of a town, x years after 2003, is given by y=15.6x+1842
What is y-int is 1842 and is the population of the town in 2003 15.6 is the slope and is the amount the population increases by each year.
500
Three ways to think about slope.....
What is rise over run, chg in y/ chg in x, chg in dep variable/chg in indep variable, (y2-y1)/(x2-x1), rate of change,.....
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