Slope & Linear Equations Review

Front

What is the slope of a line?

Back

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

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 positive slope indicate about a line?

Back

A positive slope indicates that as x increases, y also increases, meaning the line rises from left to right.

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that as x increases, y decreases, meaning the line falls from left to right.

Front

What is the y-intercept 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 determine the y-intercept from an equation?

Back

To find the y-intercept from the equation y = mx + b, simply identify the value of b.

Front

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

Back

The equation of a line in slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

Front

What is the first step to solve the equation 12g - 5 = 19?

Back

The first step is to add 5 to both sides of the equation.

Front

What is the slope of the line represented by the equation y = 1/2x?

Back

The slope of the line is 1/2.

Front

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

Back

The slope of the line is -2.