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Identifying Linear Functions
Linear or Function?
Slope
Slope intercept form
Point Slope form &Slopes of lines
100
What is a function whose graph forms a straight line called?
linear function
100
Straight line, no curves
What is linear?
100
What is the slope of a horizontal line?
Zero
100
What is slope intercept form?
y=mx+b
100
Write the linear equation in point slope form: Slope=-7 ; (4,2)
y-2 = -7(x -4)
200
What is the standard form of a linear equation?
Ax+By=C
200
Passes the vertical line test
What is a function?
200
What is the slope of a vertical line?
Undefined
200
Write the equation in slope intercept form: slope=0, y intercept =-5
y=-5
200
What lines have the same slope?
parallel
300
Tell whether the function is linear and turn it into standard form of linear equation: y=x+3
Yes can be written as -x+y=3
300
Table has a constant rate of change
What is linear?
300
Find the slope of (4,-2) and(-1,2)
What is -4/5
300
Write the equation in slope intercept form: slope=4 and (2,5) is on the line
y=4x-3
300
Are these equations parallel? Why? y=3/2x +10 y=9/6x +20
Yes; same slope
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
No exponents in the equation
Linear
400
Find the slope of (20,3000) and (60,2000)
What is -25
400
How would we graph the equation: y= 4x-3
Y-intercept is -3 then slope is 4/1 so rise 4 and run 1.
400
Write this equation in point slope form & in slope intercept form: slope=-4, (-1,-2)
Point slope form: y+2= -4(x+1) Slope intercept: y=-4x -6
500
Tell whether the function is linear. y=3x+12
Yes it is linear.
500
X values do not repeat
What is a function?
500
Find the slope of the equation: 6x + 5y=30
What is -6/5
500
Write the equation in slope intercept form and graph: 3x+2y=8
y=-3/2+4 See graph
500
Write the equation in point slope form and in slope intercept form: (1,-4) and (3,2)
Point slope: y-2=3 (x-3) slope intercept: y=3x -7