Linear Functions

Identifying Linear Functions

100

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

linear function

200

What is the standard form of a linear equation?

Ax+By=C

300

Write in standard form of linear equation: y=x+3

 x-y=-3

400

Explain rise/run as a constant using the slope 9/10

rise up 9 units run to the right 10 units

500

y=65x+100 represents a word problem regarding the rate at which a car is traveling and how far it has to travel. How fast is the car traveling?

65 mph

Correlations

100

What is the line called that is drawn on a scatter plot?

trend line/regression line

200

What is the distance from the line of fit to the actual point called?

residual

300

Is 0.02 a strong or weak correlation?

Weak

400

Is the following -0.985 a strong or weak correlation? Positive or negative?

strong negative

500

What are the numerical boundaries for correlation?

-1.0 to 1.0

Slope

100

What is the slope of a horizontal line?

Zero

200

What is the slope of a vertical line?

Undefined

300

Find the slope of (4,-2) and(-1,2)

What is -4/5

400

Find the slope of (20,3000) and (60,2000)

What is -25

500

Find the slope of the equation: y=-x

What is -1

Slope intercept form

100

What is slope intercept form?

y=mx+b

200

Write the equation in slope intercept form: slope=0, y intercept =-5

y=-5

300

Write the equation in slope intercept form: slope=4 and (2,5) is on the line

y=4x-3

400

Graph the equation: y= 4x-3

See graph

500

Write the equation in slope intercept form: 3x+2y=8

y=-3/2x+4 

Point Slope form &Slopes of lines

100

Write the linear equation in point slope form: Slope=-7 ; (4,2)

y-2 = -7(x -4)

200

What is the slope of the following?

y=-2/3x - 8

300

How do you find the slope given two points? Write the formula

y²-y¹ divided by x²-x¹

400

Write this equation in point slope form: slope=-4, (-1,-2)

Point slope form: y+2= -4(x+1)

500

Write the equation in slope intercept form: (1,-4) and (3,2)

slope intercept: y=3x -7