Slope, Intercepts & Writing Linear Equations (2024)

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 slope-intercept form of a linear equation (y = mx + b). It is calculated as the change in y divided by the change in x (rise/run).

Front

What is the y-intercept of a line?

Back

The y-intercept is the point where the line crosses the y-axis. It is represented as 'b' in the slope-intercept form of a linear equation (y = mx + b).

Front

How do you write the equation of a line in slope-intercept form?

Back

To write the equation of a line in slope-intercept form, use the formula y = mx + b, where 'm' is the slope and 'b' is the y-intercept.

Front

What is the x-intercept of a line?

Back

The x-intercept is the point where the line crosses the x-axis. It can be found by setting y = 0 in the equation of the line and solving for x.

Front

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

Back

The slope (m) between two points is calculated 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 standard form of a linear equation?

Back

The standard form of a linear equation is Ax + By = C, where A, B, and C are integers, and A should be non-negative.

Front

How do you convert from standard form to slope-intercept form?

Back

To convert from standard form (Ax + By = C) to slope-intercept form (y = mx + b), solve for y in terms of x.

Front

What is the significance of the coefficients in the equation of a line?

Back

In the equation y = mx + b, 'm' represents the slope, and 'b' represents the y-intercept, indicating the line's steepness and where it crosses the y-axis.