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 value of y when x is 0, indicating where the line crosses the y-axis.

Front

If a line has a slope of 2, what does this mean?

Back

A slope of 2 means that for every 1 unit increase in x, y increases by 2 units.

Front

Write the equation of a line with a slope of -1 and a y-intercept of 5.

Back

y = -1x + 5 or y = -x + 5.

Front

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

Back

The slope (m) is calculated as m = (y2 - y1) / (x2 - x1).

Front

What is the slope of the line represented by the equation y = 4x + 3?

Back

The slope is 4.

Front

What is the y-intercept of the line represented by the equation y = -2x + 6?

Back

The y-intercept is 6.

Front

If the slope of a line is 0, what does this indicate about the line?

Back

A slope of 0 indicates a horizontal line.

Front

If the slope of a line is undefined, what does this indicate about the line?

Back

An undefined slope indicates a vertical line.