Determining the Slope from Graphs

What does the slope of a line indicate?

• The horizontal stretch of the line

• The color of the line

• The steepness of the line

• The vertical alignment of the line

What is the symbol for change used in the slope formula?

• Delta (Δ)

• Alpha (α)

• Pi (π)

• Sigma (Σ)

If the change in x is 3 and the change in y is 2, what is the slope?

• 5

• 3/2

• 2/3

• 1/2

How do you calculate the slope from two points on a graph?

• Subtract the y-coordinates and divide by the product of x-coordinates

• Add the changes in y and x

• Multiply the changes in y and x

• Divide the change in y by the change in x

What does a negative slope indicate about the direction of the line?

• The line is vertical

• The line is horizontal

• The line moves from bottom left to top right

• The line moves from top left to bottom right

If moving from one point to another results in a change in y of -4 and a change in x of -6, what is the slope?

• 1/3

• 2/3

• -1/3

• -2/3

What ensures the slope remains constant across different points on the same line?

• Changing the scale of the graph

• Random selection of points

• The linear nature of the graph

• Using only positive coordinates

What would be the slope if the change in y is 4 and the change in x is 6?

• 3/4

• 1/2

• 3/2

• 2/3

How does the slope formula handle negative changes in y or x?

• Negatives are ignored

• Negatives are doubled

• Negatives cancel out if both changes are negative

• Negatives convert to positives automatically

What is the slope if the change in y is -2 and the change in x is 3?

• -2/3

• -3/2

• 2/3

• 3/2