Graphing Linear Functions: A Comprehensive Review

What is the relationship between a table, an equation, and a graph in the context of linear equations?

• An equation can be used to create a table, but not a graph.

• A graph can be used to create a table, but not an equation.

• A table can be used to create an equation, which can then be graphed.

• They are unrelated.

In the equation y = 2x + 1, what is the y-intercept?

• 0

• 2

• 1

• -1

What does the slope represent in a linear equation?

• The y-intercept

• The rate of change

• The constant term

• The x-intercept

How do you find the slope between two points (x1, y1) and (x2, y2)?

• (x1 - x2) / (y1 - y2)

• (x2 - x1) / (y2 - y1)

• (y2 - y1) / (x2 - x1)

• (y1 - y2) / (x1 - x2)

What is the slope of the line passing through the points (0, 7) and (1, 10)?

• 2

• 4

• 3

• 1

In the standard form equation 3x + 5y = -12, what is the x-intercept?

• -4

• 4

• -12

• 12

How do you convert the standard form equation 3x - 2y = 10 to slope-intercept form?

• y = -3/2x - 5

• y = 3/2x - 5

• y = -3/2x + 5

• y = 3/2x + 5

What is the slope of a vertical line?

• 0

• Undefined

• -1

• 1

In function notation, what does f(x) represent?

• The y-value

• The slope

• The x-value

• The y-intercept

If f(x) = -3x + 1, what is f(5)?

• -14

• 15

• -15

• 14