Slope-Intercept Form

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, typically represented as 'm' in the slope-intercept form y = mx + b.

Front

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

Back

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

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

Back

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

Front

Find the slope given the points (3,2) and (4,7).

Back

The slope is 5.

Front

Find the slope given the points (-5,-3) and (2,4).

Back

The slope is 1.

Front

What is the y-intercept in the equation y = -4x - 5?

Back

The y-intercept is -5.

Front

What does an undefined slope indicate about a line?

Back

An undefined slope indicates that the line is vertical.

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0.

Front

If a line has a positive slope, what does that indicate about its direction?

Back

A positive slope indicates that the line rises from left to right.