12.02 Warm-Up

Front

What is the equation of a line in slope-intercept form?

Back

y = mx + b, where m is the slope and b is the y-intercept.

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 as (0, b).

Front

How do you determine if an ordered pair is a solution to a linear equation?

Back

Substitute the x-value of the ordered pair into the equation and see if the resulting y-value matches the y-value of the ordered pair.

Front

What is the slope of a line?

Back

The slope (m) is a measure of the steepness of the line, calculated as the rise over run (change in y over change in x).

Front

What is an x-intercept?

Back

The x-intercept is the point where the line crosses the x-axis, represented as (a, 0).

Front

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

Back

Slope (m) = (y2 - y1) / (x2 - x1).

Front

What is the standard form of a linear equation?

Back

Ax + By = C, where A, B, and C are integers.

Front

What does it mean for two lines to be parallel?

Back

Two lines are parallel if they have the same slope and will never intersect.

Front

What does it mean for two lines to be perpendicular?

Back

Two lines are perpendicular if the product of their slopes is -1.

Front

How can you graph a linear equation?

Back

Find the y-intercept, plot it on the graph, then use the slope to find another point.