Graphing Linear Equations

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, calculated as the rise over run between two points on the line.

Front

In the equation y=mx+b, what does 'm' represent?

Back

In the equation y=mx+b, 'm' represents the slope of the line.

Front

In the equation y=mx+b, what does 'b' represent?

Back

In the equation y=mx+b, 'b' represents the y-intercept, the point where the line crosses the y-axis.

Front

What is the y-intercept of the line represented by the equation y=-3x+6?

Back

The y-intercept is 6.

Front

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

Back

The slope (m) is calculated using the formula m = (y2 - y1) / (x2 - x1).

Front

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

Back

The slope is -2.

Front

What does it mean if the slope of a line is positive?

Back

A positive slope means that as x increases, y also increases, indicating an upward trend.

Front

What does it mean if the slope of a line is negative?

Back

A negative slope means that as x increases, y decreases, indicating a downward trend.

Front

What is the graph of the equation y=x+1?

Back

The graph is a straight line that crosses the y-axis at (0,1) and has a slope of 1.

Front

If a line has a slope of 0, what does that indicate?

Back

A slope of 0 indicates a horizontal line, meaning y remains constant regardless of x.