Finding Slope from Two Points and Graphically

Front

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

Back

The formula for slope is: m = (y2 - y1) / (x2 - x1)

Front

What is the y-intercept of a line?

Back

The y-intercept is the point where the line crosses the y-axis, represented as (0, y).

Front

How do you find the y-intercept from the equation of a line in the form Ax + By = C?

Back

To find the y-intercept, set x = 0 and solve for y.

Front

What is the x-intercept of a line?

Back

The x-intercept is the point where the line crosses the x-axis, represented as (x, 0).

Front

How do you find the x-intercept from the equation of a line in the form Ax + By = C?

Back

To find the x-intercept, set y = 0 and solve for x.

Front

Given the points (2, -2) and (5, 7), what is the slope of the line passing through them?

Back

The slope is 3.

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 horizontal line?

Back

The slope of a horizontal line is 0.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined.