Slope / Slope intercept / Point slope

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 'm' represent in the equation y = mx + b?

Back

The 'm' represents the slope of the line.

Front

What does the 'b' represent in the equation y = mx + b?

Back

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

Front

How do you calculate the slope (m) between two points (x1, y1) and (x2, y2)?

Back

The slope is calculated using the formula m = (y2 - y1) / (x2 - x1).

Front

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

Back

A slope of 0 indicates that the line is horizontal.

Front

If two lines have the same slope, what can we say about their relationship?

Back

If two lines have the same slope, they are parallel.

Front

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

Back

The point-slope form is given by the equation y - y1 = m(x - x1), where (x1, y1) is a point on the line.

Front

How do you convert the point-slope form to slope-intercept form?

Back

To convert, solve for y: y = mx - mx1 + y1.

Front

What is the significance of the y-intercept in a linear equation?

Back

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

Front

What does it mean if two lines are perpendicular?

Back

Two lines are perpendicular if the product of their slopes is -1.