Slope Intercept Form

Front

What is the Slope-Intercept Form of a linear equation?

Back

The Slope-Intercept Form is y = mx + b, where m is the slope and b is the y-intercept.

Front

What does the slope (m) represent in the equation y = mx + b?

Back

The slope (m) represents the rate of change of y with respect to x, indicating how steep the line is.

Front

What does the y-intercept (b) represent in the equation y = mx + b?

Back

The y-intercept (b) is the point where the line crosses the y-axis, indicating the value of y when x = 0.

Front

How do you determine if a slope is positive?

Back

A slope is positive if the line rises from left to right.

Front

How do you determine if a slope is negative?

Back

A slope is negative if the line falls from left to right.

Front

What is the slope of the line represented by the equation y = 4x - 1?

Back

The slope is 4.

Front

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

Back

The slope is -2.

Front

What type of slope does a horizontal line have?

Back

A horizontal line has a slope of zero.

Front

What type of slope does a vertical line have?

Back

A vertical line has an undefined slope.

Front

If a line has a slope of 3, what does this mean?

Back

It means that for every 1 unit increase in x, y increases by 3 units.