Slope Intercept
What is the slope and the y - intercept?
m = ____
y-int: ( , )
y = 9x - 42
m = 9
y-int: (0, -42)
What is the slope and the point?
m = ____
Point: ( , )
y + 3= -(x - 8)
m = -1
Point: (8, -3)
What is the Slope, x-intercept, and y-intercept?
2x - 12y = -48
m = -2/-12 = 1/6
x-int: (-24, 0)
y-int: (0, 4)
Name the 2 U.S. States that border South Carolina
North Carolina and Georgia
If you have a line with a negative slope, the line should be _____________ from left to right
decreasing
Write an equation in Slope Int. Form
m = -1/2
y-int: (0, 75)
y = -1/2x + 75
Write an equation in Point Slope Form
m = 5
Point: (6, -11)
y + 11 = 5(x - 6)
Write an equation in Standard Form
m = -2/3
y-int: (0, 17/3)
x-int: (17/2, 0)
2x + 3y = 17
What is the capitol of Mississippi?
Jackson
A horizontal line has a slope of ?
Zero or 0
Determine the slope
(-30, -28) (-100, 7)
7 - -28 = 35
-100 - -30 = -70
35/-70 = -1/2 = m
Determine the slope and write an equation in Point Slope Form
(8, -20) (14, -50)
-30/6 = -5
y + 20 = -5(x - 8)
or
y + 50 = -5(x - 14)
Determine the Slope and the X-intercept only
-6x - 10y = 42
m = -(-6)/-10 = -3/5
x-int: (-7, 0)
Words like buzz, woosh, bam, pow (words that sound like what it is describing) are called what?
Onomatopoeia
The equation x = -4 would create what type of line?
and What is the slope of this line?
Vertical Line
Slope = Undefined
x-intercept: (-4, 0)
y-intercept: N/A
m = 9
point on the line: (-2 , -8)
Find the y - intercept & Write the final equation
-8 = 9(-2) + b
-8 = -18 + b
10 = b
Equation: y = 9x + 10
Summer saves $20 a month. After 3 months she has $160
Write an equation in Point Slope Form
y - 160 = 20(x - 3)
Determine the Slope and the y - intercept
10x + 15y = -60
m = -10/15 = -2/3
y-intercept: (0, -4)
If you are walking North, turn around 180 degrees and then take a right, which cardinal direction will you be going?
West
Rearrange this equation into Slope Intercept Form:
(Show All your work)
-2(2x + 3) + 2y = 8x - 10
-4x - 6 + 2y = 8x - 10
2y = 12x - 4
y = 6x - 2
(Refer to slide with picture)
What is the slope?
What is the y-intercept?
Write the final equation.
m = 3/2
y-int: (0, -4)
y = 3/2x - 4
Rearrange this equation into slope intercept form
y + 12 = -3(x - 10)
y + 12 = -3x + 30
y = -3x + 18
A. Determine the x-intercept and the y-intercept.
B. Does this line have a positive or negative slope?
18x - 3y = -36
x-int: (-2, 0)
y-int: (0, 12)
-18/-3 = Positive Slope
If Ms. Mayer has $2,000 left to pay on a loan and she puts $400 towards that loan every month - how many months will it take her to pay it off?
2000 / 400 = 5 Months
Your coach is buying snacks and drinks for the whole team. Each bag of chips costs $1.50 and each drink costs $2.00. In total your coach spent $58.00
A. Write an equation in Standard Form
B. How many drinks (y) could the coach buy if NO chips (x) are purchased?
1.50x + 2.00y = 58
1.50(0) + 2.00y = 58
y = 29 drinks