Basic Graphing

Front

What are the coordinates of a point?

Back

Coordinates are written as (x, y), where x is the horizontal value and y is the vertical value.

Front

What does the 'm' represent in the equation y=mx+b?

Back

The 'm' represents the slope of the line.

Front

What does the 'b' represent in the equation y=mx+b?

Back

The 'b' represents the y-intercept, the point where the line crosses the y-axis.

Front

Which axis runs vertically?

Back

The y-axis runs vertically.

Front

What is the slope of the line represented by the equation y = 2x + 5?

Back

The slope is 2.

Front

What is the x-intercept of the equation y = 3x - 9?

Back

The x-intercept is 3, found by setting y to 0.

Front

How do you plot the point (4, 2) on a graph?

Back

Move 4 units right on the x-axis and 2 units up on the y-axis.

Front

What is the formula to calculate the slope between two points (x1, y1) and (x2, y2)?

Back

The slope (m) is calculated as m = (y2 - y1) / (x2 - x1).

Front

What does it mean if a line has a negative slope?

Back

A negative slope means that as x increases, y decreases.

Front

What is the purpose of a graph?

Back

A graph visually represents data, showing relationships between variables.