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Identifying Linear Functions
Using Intercepts
Slope
Functions
Point Slope form &Slopes of lines
100
What is a function whose graph forms a straight line called?
linear function
100
What is the y-coordinate of the point where the graph intersects the y axis called?
What is the y- intercept
100
What is the slope of a horizontal line?
Zero
100
Find the range of f(x) = 2x + 1 for the domain {-1, 0, 1, 3}
The range is { -1, 1, 3, 7} f(-1) = 2(-1) + 1 = -1 f(0) = 2(0) + 1= 1 f(1) = 2(1) + 1 = 3 f(3) = 2(3) + 1 = 7
100
Write the linear equation in point slope form: Slope=-7 ; (4,2)
y-2 = -7(x -4)
200
What is the slope-intercept form of a linear function?
y = mx + b
200
Find the y intercept (b): 2x- 4y=8
b =-2
200
What is the slope of a vertical line?
Undefined
200
Determine the function rule given the following: x | y 0 | 3 1 | 5 2 | 7
f(x) = 2x +3
200
Write the equation of the line with a slope of 3 and passes through (0 , 4)
y = 3x + 4
300
What type of slopes do linear functions have?
The slopes of linear functions are constant. Only linear functions have constant slopes.
300
Find the y intercept of 3x+4y=24
y=6
300
Find the slope of the equation y = -x + 4
m = -1
300
Express the relation as a table of values {(0 , 2), (2, 3), (2, 4) (5, 2)
x | y 0 | 2 2 | 3 2 | 4 5 | 2
300
What is the point-slope formula?
y - y1 = m (x - x1)
400
Tell whether the set of ordered pairs satisfies a linear function. Explain (2,4), (5,3) (8,2), (11,1)
Yes, constant change in 3 for x. Constant change of -1 in y
400
What is the value of x at the y-intercept?
x = 0
400
Find the slope of (20,3000) and (60,2000)
What is -25
400
Graph the function: f(x) = -3x + 5
See graph
400
Write this equation in slope intercept form: slope=-4, (-1,-2)
Slope intercept: y=-4x -6
500
what two key pieces of information are needed to write the equation of the linear function?
The slope and the y-intercept.
500
How do we determine the y-intercept from the graph of a linear function?
We determine where the graph of the line crosses the y-axis.
500
Find the slope of the equation: 6x + 5y=30
What is 6/5
500
Express the relation as a mapping diagram {(0, 0) , (3, 5), (-2, 0)}
see mapping diagram
500
Write the equation in slope intercept form: (1,-4) and (3,2)
Slope = 3 Point slope: y-2=3 (x-3) slope intercept form: y=3x -7