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Identifying Linear Functions
Graphs
Tables
Equations
Vocabulary
100

What is a function whose graph forms a straight line called?

linear function

100
What is the x-coordinate of the point where the graph intersects the x axis called?
What is the x intercept
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 slope-intercept form of a linear equation?

What is the point-slope form of a linear equation?

y = mx + b

y - y1 = m(x - x1)

200
Find the x intercept: 2x- 4y=8
x=4
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 slope intercept form: 3x + 2y = 8

Yes can be written as y = -3/2x + 4

300
Find the x and y intercepts of 3x+4y=24
x=8 and y=6
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
How do you know when you have perpendicular slopes?
When the product of the slopes equal -1
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
Find the x and y intercepts of 3x- 2y=12
x=4 and y=-6
400
Find the slope of (20,3000) and (60,2000)
What is -25
400
Graph the equation: y= 4x-3
See graph
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 or nonlinear. Explain.

Yes it is linear because the set of values has a constant rate of change of.

500
Find the x and y intercepts of 2x + 4y=8. Then graph it
x=4 and y=-2
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