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 a linear equation?

Back

The slope 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 a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis, represented by the value of y when x = 0.

Front

How do you identify the slope from the equation y = 2x + 5?

Back

The slope is 2, which indicates that for every 1 unit increase in x, y increases by 2 units.

Front

How do you identify the y-intercept from the equation y = -3x + 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 a decrease in y 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, where x remains constant regardless of y.

Front

How can you convert the equation 2x + 3y = 6 into slope-intercept form?

Back

Rearranging gives y = -2/3x + 2, where the slope is -2/3 and the y-intercept is 2.

Front

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

Back

The slope is 0, indicating a horizontal line at y = 5.