Formula / Equations
y=mx+b
Translated Linear Equation
To move graph up, down, left or right without changing shape or size
Translation
negative slope
goes down from left to right
What is the horizontal axis called
x axis
Apples cost 2$ each & oranges cost 1$ each. you spent 15$ on ___apples and ___oranges. you bought at least 4 apples
4 A 7 O
5 A 5 O
6 A 3 O
7 A 1 O
Divide the difference of the two (y) values by the difference of he two (x) values
Finding the Slope
relationship between two variables that have a constant (never changing) ratio
Proportional relationship
positive slope
Goes up from left to right
what is the vertical axis called
y-axis
A store sells ice cream with assorted toppings. They charge 3$ for ice cream plus 0.50$ per topping. whats the total with 4 toppings?
5$
subtract x2 and x1
horizontal change
Rate of Change
Slope
The slope of a horizontal line
Zero Slope
rise over run
slope
To mix a particular shade of purple paint, red and blue are mixed in the ratio, 5:3. To make 15 gallons of purple paint, how many gallons of red and blue should be used?
1o gallons of red (5 x 2)
6 gallons of blue (3 x 2)
10:6=5:3
subtract y2 and y1
vertical change
The point where the linear relationship touches the x-axis
Horizontal Intercept
The slope of Vertical line
Undefined slope
axis that holds the bigger number when plotting points
y-axis
A store sells ice cream with assorted toppings. They charge 3$ for ice cream plus 0.50$ per topping. What the total with 10 toppings?
8$
Linear equation
Y=mx
The point where the linear relationship touches the y-axis
Vertical intercept
Parallel lines have the same slope
yes (rise, vertically & run, horizontally; at the same rate)
the point (5,0) falls on what axis
x-axis
At one gas station, gas costs 2.75$ per gallon. Whats the equation that relates to the total cost, (C), to the number of gallons of gas purchased, (G).
C=2.75(g)