Graph Slope Intercept

Front

What is the slope in a linear equation?

Back

The slope is a measure of the steepness of a line, represented as 'm' in the slope-intercept form (y = mx + b). It indicates how much y changes for a unit change in x.

Front

What does the y-intercept represent in a graph?

Back

The y-intercept is the point where the line crosses the y-axis, represented as 'b' in the slope-intercept form (y = mx + b). It indicates the value of y when x is 0.

Front

How do you find the slope between two points (x1, y1) and (x2, y2)?

Back

The slope (m) can be calculated using the formula: m = (y2 - y1) / (x2 - x1).

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

If a line has a slope of 0, what does that mean?

Back

A slope of 0 means the line is horizontal, indicating that there is no change in y as x changes.

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that as x increases, y decreases, resulting in a downward slant from left to right.

Front

What does a positive slope indicate about a line?

Back

A positive slope indicates that as x increases, y also increases, resulting in an upward slant from left to right.

Front

How can you graph a linear equation using the slope-intercept form?

Back

1. Start at the y-intercept (b) on the y-axis. 2. Use the slope (m) to determine the rise over run. 3. Plot another point using the slope and draw the line through the 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, making it useful in various real-world contexts.

Front

What is the formula to convert from slope-intercept form to standard form?

Back

To convert from slope-intercept form (y = mx + b) to standard form (Ax + By = C), rearrange the equation to get all terms on one side.