Linear Functions
Using Intercepts
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
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 the standard form of a linear equation?

Ax+By=C

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

Conner has $25,000 in his bank account. Each month he spends $1,500. He does not add money to the account. Write a linear model that shows how much money will be in the account after x months.

m = 25000-1500x

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

Are the following two lines parallel? Explain 

y =-2x+6 and 8x+4y=12

Yes because they have the same slope of -2

400

Ben walks at a rate of 3 miles per hour. He runs at a rate of 6 miles per hour. In one week, the combined distance that he walks and runs is 210 miles. Write a linear model that relates the number of hours that Ben walks to the number of house Ben runs.

3w+6r=210

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 and label two points: 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

A month bill B for a cell phone plan can be modeled by B=.15t+30 where t is the number of text messages sent in a month. If your monthly bill is $60, how many text messages did you send?

200

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