Understanding Equations from Graphs

What is the first step in writing an equation from a graph?

• Calculate the y-intercept

• Draw a line through the points

• Make a table of values from ordered pairs

• Identify the slope of the graph

How can you remember the order of quadrants in a coordinate plane?

• By the color of the quadrants

• By the direction of the letter 'C'

• By the size of the quadrants

• By the number of points in each quadrant

In the county fair example, what does the variable 'r' represent?

• Total money spent

• Number of rides

• Entrance fee

• Money spent on rides

What type of relationship is shown when the total is always ten dollars more than the rides?

• Exponential

• Additive

• Multiplicative

• Logarithmic

What is the equation derived from the county fair example?

• t = r - 10

• t = r + 10

• t = 10r

• t = r / 10

How do you determine if a pattern is multiplicative?

• By subtracting a constant from each value

• By dividing the dependent value by the independent value

• By multiplying each value by a constant

• By adding a constant to each value

What is the equation for the relationship where y is always 2.5 times x?

• y = 2.5 + x

• y = 2.5x

• y = x / 2.5

• y = x - 2.5

In the final example, what is the pattern observed between x and y?

• y is always x minus 2

• y is always x plus 3

• y is always 2 times x

• y is always 3 times x

What is the equation for the final example where y is twice the value of x?

• y = x - 2

• y = x / 2

• y = 2x

• y = 2 + x

How can you verify if your equation is correct?

• By comparing it to another equation

• By drawing a new graph

• By substituting values of x and y into the equation

• By checking if the graph is a straight line