11-22-24 Slope, Points, and Point-Slope Form

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 = (y2 - y1) / (x2 - x1).

Front

What does it mean if the slope of a line is undefined?

Back

An undefined slope indicates a vertical line, where the change in x (denominator) is zero.

Front

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

Back

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

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

How do you determine if a point lies on a line given by an equation?

Back

Substitute the x-coordinate of the point into the equation and see if the resulting y-value matches the y-coordinate of the point.

Front

What is the slope of the line that passes through the points (2, 3) and (2, 8)?

Back

The slope is undefined because the x-coordinates are the same, indicating a vertical line.

Front

What is the slope of the line that passes through the points (-3, 5) and (1, 7)?

Back

The slope is 0.5 or 1/2.

Front

Back

The slope is 0.5.

Front

What does a positive slope indicate about the direction of a line?

Back

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

Front

What does a negative slope indicate about the direction of a line?

Back

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