Writing Equations from a Graph

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 identify the slope from a graph?

Back

The slope is the rise over run, calculated as the change in y divided by the change in x between two points on the line.

Front

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

Back

The y-intercept is the point where the line crosses the y-axis, represented by the value of b in the slope-intercept form.

Front

What is the equation of a horizontal line?

Back

The equation of a horizontal line is y = c, where c is a constant.

Front

What is the equation of a vertical line?

Back

The equation of a vertical line is x = c, where c is a constant.

Front

How can you determine if a line is increasing or decreasing from its graph?

Back

A line is increasing if it goes up from left to right and decreasing if it goes down from left to right.

Front

What is the slope of a line that is vertical?

Back

The slope of a vertical line is undefined.

Front

What is the slope of a line that is horizontal?

Back

The slope of a horizontal line is 0.

Front

How do you write the equation of a line given its slope and y-intercept?

Back

Use the slope-intercept form: y = mx + b, substituting m for the slope and b for the y-intercept.

Front

What does it mean if two lines are parallel?

Back

Two lines are parallel if they have the same slope but different y-intercepts.