Find the Slope-intercept Equation from a Graph or a Table

Front

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

Back

Front

How do you find the slope from a graph?

Back

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

Front

What does the y-intercept represent in a linear equation?

Back

Front

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

Back

A slope of 2 means that for every 1 unit increase in x, y increases by 2 units.

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0, meaning there is 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 the change in x is 0.

Front

How can you determine the equation of a line from a table of values?

Back

Front

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

Back

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

Front

How do you convert a point-slope equation to slope-intercept form?

Back

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that as x increases, y decreases, showing an inverse relationship.