Writing Equations of Lines

Front

What is the equation of a linear function?

Back

A linear function can be expressed in the form y = mx + b, where m is the slope and b is the y-intercept.

Front

What does the slope of a line represent?

Back

The slope of a line represents the rate of change of y with respect to x, indicating how steep the line is.

Front

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

Back

The slope (m) is calculated using the formula m = (y2 - y1) / (x2 - x1).

Front

What is the slope of the line y = 3x + 5?

Back

The slope is 3.

Front

What is the y-intercept of the line y = -2x + 4?

Back

The y-intercept is 4.

Front

How do you write an equation of a line parallel to y = mx + b?

Back

A parallel line will have the same slope (m) but a different y-intercept (b).

Front

What is the equation of a horizontal line?

Back

A horizontal line can be expressed as y = c, where c is a constant.

Front

What is the equation of a vertical line?

Back

A vertical line can be expressed as x = c, where c is a constant.

Front

How do you determine if two lines are parallel?

Back

Two lines are parallel if they have the same slope.

Front

What is the slope of a line that is perpendicular to a line with slope m?

Back

The slope of a perpendicular line is -1/m.