Slope intercept form

Front

What is the slope-intercept form of a linear equation?

Back

The slope-intercept form is given by the equation y = mx + b, where m is the slope and b is the y-intercept.

Front

What does the slope 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 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 + 4?

Back

The slope is -3, which indicates the line decreases as x increases.

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 = 6x + 10?

Back

The slope is 6.

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 there is no change in y as x changes.

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 while y changes.

Front

What is the equation of a line with a slope of 1/3 and a y-intercept of -2?

Back

The equation is y = (1/3)x - 2.

Front

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

Back

The equation is already in slope-intercept form with a slope of -1 and a y-intercept of 2.