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

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

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

500

What is the difference between slope and rate of change? 

Slope: Measurement of changes of y and changes of x Rate of change: How much the dependent variables are affected by independent variables in context 

Using Intercepts

100

What is the x-coordinate of the point where the graph intersects the x axis called?

What is the x intercept

200

Find the x intercept: 2x- 4y=8

x=4

300

Find the x and y intercepts of 3x+4y=24

x=8 and y=6

400

Find the x and y intercepts of -3y = 8x - 2

x=1/4 and y=-2

500

Find the x and y intercepts of 1/2y = 3/5x - 2/5. Then graph it

x=2/3 and y=-4/5

Slope

100

What is the slope of a vertical line?

Undefined

200

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

-4/5

300

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

-25

400

Find the slope of the equation: 6x + 5y=30

6/5

500

Find the equation of the line perpendicular to y=3/2x - 4 and passes through (3,1)

y= -2/3x + 3 

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

Write an equation with given points (4,-5) and (-2.-1) 

y= -2/3x - 7/3

500

Write the equation in slope intercept form 7x + 6y = 42

y = -7/6x + 7 

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 lines have the same slope?

parallel

300

How do you know when you have perpendicular slopes?

When the product of the slopes equal -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

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