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 'm' represent in the slope-intercept form?

Back

The 'm' represents the slope of the line, indicating how steep the line is.

Front

What does the 'b' represent in the slope-intercept form?

Back

The 'b' represents the y-intercept, which is the point where the line crosses the y-axis.

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

If a line has a slope of -3, what does this indicate about the line's direction?

Back

A slope of -3 indicates that the line is decreasing; for every 1 unit you move to the right, the line goes down 3 units.

Front

What is the slope of the line represented by the equation y = 1/2x + 4?

Back

The slope of the line is 1/2.

Front

How can you graph the equation y = -3?

Back

The graph of y = -3 is a horizontal line that crosses the y-axis at -3.

Front

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

Back

The equation is y = 2x + 1.

Front

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

Back

A slope of 0 means the line is horizontal.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined.