Slope and Y-intercept from a Graph by Magoffin

Front

What is the y-intercept of a line?

Back

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

Front

How do you find the slope of a line from a graph?

Back

The slope of a line is found by taking the rise (change in y) over the run (change in x) between two points on the line.

Front

What does a positive slope indicate about a line?

Back

A positive slope indicates that as the x-value increases, the y-value also increases, meaning the line rises from left to right.

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that as the x-value increases, the y-value decreases, meaning the line falls from left to right.

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0, indicating no change in y as x changes.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined, as it would require division by zero (change in x is 0).

Front

If a line has a slope of 1/2, what does this mean?

Back

A slope of 1/2 means that for every 2 units you move to the right (increase in x), the line rises 1 unit (increase in y).

Front

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

Back

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

Front

How can you identify the slope from the equation of a line in slope-intercept form (y = mx + b)?

Back

In the equation y = mx + b, m represents the slope of the line.

Front

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

Back

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