Slope
What is another way we say or describe "slope"?
"rise over run" .... rise/run rate of change .... change in y over change in x (y2-y1)/(x2-x1)
Naomi has $32 and earns $8 per week to wash the dishes. Write an equation to represent this situation.
y = 8x + 32
What is the formula for the slope-intercept form of a line?
y = mx + b
What is the formula for the point-slope form of a line?
y - y1 = m (x - x1)
Rewrite in slope intercept form; y - 7= -2(x+1)
y=-2x+5
Find the slope of the line through the points:
(8,13) and (4,7).
3/2
Landon received $250 for Christmas. He spends $20 dollars per week on gas. Write and equation to represent the situation.
y = -20x + 250
What is the y-intercept (as a coordinate pair) of the line with the equation y=2/3 x + 5 ?
(0,5)
Write the equation in slope intercept form of the line that goes through the given points.
(3, -1) and (0, 1)
y = -(2/3)x + 1
It costs $27 to rent a kayak for 3 hours. How much would it cost to rent for 5 hours?
45
Find the slope of the line through the points:
(3,7) and (-2,1).
m = 6/5
Naomi has $32 and earns $8 per week to wash the dishes. Using the equation that represents this situation:
Find the x-intercept and describe what it means.
x int= -4.
4 weeks ago, Naomi had no money.
A line goes through the given point with the given slope. Fine the y-intercept of the line.
through: (3, -1), slope= 2/3
b= -3
Write the equation of the line in point-slope form that has a slope of -1/2 and goes through the point (-4, 2).
y-2=-1/2(x+4)
You have $100 in your bank account and plan on depositing $12.50 a month. Write an equation that represents the balance in your account
y = 12.50x + 100
Find the slope of the line from the given equation.
3y = 8x + 12
m = 8/3
Landon received $250 for Christmas. He spends $20 dollars per week on gas. Using the equation that represents this situation:
Find the x-intercept and describe what it means.
x = 12.5
In 12.5 weeks, Landon will have no money left.
Write the equation of the line in slope intercept form that goes through (4, -1) and (2,5).
y=-3x+11
Does the table represent a linear equation? Explain!
Yes
Rewrite in slope intercept form; 12x+2y=-6
y=-6x-3
Find the slope of the line from given the equation.
0 = 8 - 4y + x
m = 1/4
Zach has $70 dollars and spends $3.50 on a woods coffee everyday.
Part 1: Write an equation to represent this situation.
Part 2: Find the x-intercept and describe what it means.
Part 1: y = -3.50x + 70
Part 2: x int= 20. In 20 days, Zach will have no money to spend on coffee.
Write the equation of the line in slope intercept form that goes through (-5, -2) and (5,0).
y=(1/5)x-1
Does the table represent a linear equation? Explain!
No
Solve the equation below.
-(2 - 8x) - 9 = -4(1 - 2x) - 7
Infinite solutions