Linear Equation Review

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, typically represented as 'm' in the equation of a line (y = mx + b). It is calculated as the change in y divided by the change in x (rise/run).

Front

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

Back

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

Front

What does a slope of 0 indicate about a line?

Back

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

Front

What does an undefined slope indicate?

Back

An undefined slope indicates that the line is vertical, meaning there is no change in x as y changes.

Front

What is the y-intercept in the equation of a line?

Back

The y-intercept is the point where the line crosses the y-axis, represented as 'b' in the equation y = mx + b.

Front

How do you graph the equation y = 2x - 5?

Back

To graph y = 2x - 5, start at the y-intercept (0, -5) and use the slope (2) to find another point: from (0, -5), go up 2 units and right 1 unit to (1, -3).

Front

What is the equation of a line with a slope of 1 and a y-intercept of 4?

Back

The equation is y = 1x + 4 or simply y = x + 4.

Front

How do you determine the slope from a graph?

Back

To determine the slope from a graph, select two points on the line, calculate the rise (change in y) and run (change in x), and then use the formula m = rise/run.

Front

What is the slope of the line represented by the equation y = -3x + 2?

Back

The slope of the line is -3.

Front

What does it mean if two lines are parallel?

Back

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