Two Point Slope

Front

What is the formula to calculate the slope (m) between two points (x1, y1) and (x2, y2)?

Back

The slope (m) is calculated using the formula: m = \frac{y2 - y1}{x2 - x1}.

Front

What does a positive slope indicate about a line?

Back

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

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that the line falls as it moves from left to right.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined.

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0.

Front

How do you find the slope of a line given two points (2, 3) and (4, 7)?

Back

Using the formula: m = \frac{7 - 3}{4 - 2} = \frac{4}{2} = 2.

Front

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

Back

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

Front

If a line has a slope of 3 and a y-intercept of 5, what is the equation of the line?

Back

The equation of the line is: y = 3x + 5.

Front

What is the slope of the line that passes through the points (1, 2) and (1, 5)?

Back

The slope is undefined because the x-coordinates are the same.

Front

How do you determine if two lines are parallel using their slopes?

Back

Two lines are parallel if they have the same slope.