Exploring Direct Proportion Graphs

What is a key characteristic of a direct proportion graph?

• It is always horizontal.

• It never touches the x-axis.

• It goes through the origin.

• It is a curved line.

What is the name of the point where a direct proportion graph passes through?

• Vertex

• Intercept

• Origin

• Apex

What does the constant (K) represent in a direct proportion graph?

• The y-intercept

• The x-intercept

• The gradient

• The area under the curve

How do you find the constant (K) from a table of values?

• Add x and y

• Multiply x by y

• Divide y by x

• Subtract x from y

If x is 5 and y is 25, what is the constant (K)?

• 1

• 5

• 10

• 25

If y is 40 and the constant (K) is 5, what is the value of x?

• 8

• 5

• 10

• 20

What should you do after plotting all points on a direct proportion graph?

• Erase the points

• Draw a curved line through the points

• Connect the points with a ruler

• Leave the points unconnected

In the second example, if x is 12 and the constant (K) is 3/4, what is the value of y?

• 4

• 3

• 12

• 9

If y is 6 and the constant (K) is 3/4, what is the value of x?

• 12

• 8

• 6

• 4

What is the first step in finding the constant (K) in a direct proportion graph?

• Subtract x from y

• Add x and y

• Divide y by x

• Multiply x and y