Slope-Intercept Equation
What letter do we use to represent the slope?
m
y + 5= 2x +10
y=2x + 5
The cost y (in dollars) of one person buying admission to a fair and going on x rides is y = x + 12. Interpret the slope.
It costs $1 per ride.
What directions would you travel with a slope of 1/3?
Up 1, right 3
5 - 7
-2
What is the slope-intercept equation?
y = mx + b
y-5x = 4x + 1
y= 9x +1
What does it mean to interpret something?
To explain its meaning.
In the equation y = -15x + 12, what coordinate is the y- intercept located at?
(0, 12)
-4 + 3
-1
What is the slope and y-intercept of the line:
y = 7/8x - 5
m= 7/8
b = -5 or (0,-5)
y = 4(x - 6)
y= 4x - 24
What is a useful way of remembering how to identify and interpret slope and y -intercepts? (Two words)
"What happens ________, What happens ___________?
"What happens once (y-intercept), What happens continuously (slope).
An entrepreneur is opening a business to market pies and pie fillings based on her family’s recipes. The price of every item in the store is $6. Write a linear equation that models the amount of revenue y (in dollars) taken in for selling x items.
y = 6x
6 - (-3)
9
What is the y -intercept?
Where the lines intersects the y -axis
y - 2 = 5(x + 3)
y = 5x + 17
You have a $20 gift card to a coffee shop. Each time you go there, you get chai tea for $1.25. Which of these is the slope, which is the y -intercept?
m = -1.25
b = 20
Write the equation of the line that passes through (0,5) and (4, 1)
y = -1x + 5
-9 - (-1)
-8
What kind of line does the equation x = 6 create?
Vertical, horizontal, positive slope, negative slope
Vertical line
y = 3x
or
y = 3x + 0
The number y of new vocabulary words that you learn after x weeks is represented by the equation y = 15x. Interpret the slope and y-intercept.
You had learned 0 words at the start, but then learned 15 words per week.
Write the equation of the line that passes through points:
(-1, 2) and (3, 2)
y = 2
-4 - (-5) - 7
-6