write & graph linear equations

Front

What is the y-intercept?

Back

The y-intercept is the point where a line crosses the y-axis. It is represented as (0, b) in the equation y = mx + b.

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, calculated as the rise over run (change in y over change in x). It is represented by 'm' in the slope-intercept form of a linear equation.

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

How do you find the slope from two points?

Back

The slope (m) can be found using the formula m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are the coordinates of the two points.

Front

What does it mean if a line has a positive slope?

Back

A line with a positive slope rises from left to right, indicating that as x increases, y also increases.

Front

What does it mean if a line has a negative slope?

Back

A line with a negative slope falls from left to right, indicating that as x increases, y decreases.

Front

What is the equation of a horizontal line?

Back

The equation of a horizontal line is y = b, where 'b' is the y-coordinate of any point on the line.

Front

What is the equation of a vertical line?

Back

The equation of a vertical line is x = a, where 'a' is the x-coordinate of any point on the line.

Front

How do you graph a linear equation?

Back

To graph a linear equation, identify the y-intercept (b) and use the slope (m) to find another point. Draw a line through these points.

Front

What is the significance of the slope in real-world applications?

Back

The slope can represent rates of change, such as speed, cost per item, or growth rates in various contexts.