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 identify the slope from the equation y = 3x + 2?

Back

The slope is 3, which means for every 1 unit increase in x, y increases by 3 units.

Front

How do you identify the y-intercept from the equation y = -2x + 4?

Back

The y-intercept is 4, meaning the line crosses the y-axis at the point (0, 4).

Front

What is the slope of the line represented by the equation y = -1/2x + 3?

Back

The slope is -1/2, indicating the line falls as x increases.

Front

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

Back

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

Front

If a line has an undefined slope, what does that indicate about the line?

Back

An undefined slope indicates a vertical line, meaning x remains constant regardless of y.

Front

How can you convert the equation y = 4x - 1 into standard form?

Back

To convert to standard form, rearrange to 4x - y = 1.

Front

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

Back

The slope is 0, indicating a horizontal line.