Line Equations and Relationships

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 change in y divided by the change in x (rise/run).

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, regardless of their y-intercepts.

Front

What does it mean for two lines to be perpendicular?

Back

Two lines are perpendicular if the product of their slopes is -1. This means that one line is the negative reciprocal of the other.

Front

How do you find the y-intercept of a line from its equation?

Back

The y-intercept can be found by setting x = 0 in the equation of the line and solving for y.

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

Write the equation of a line with slope 2 through the point (3, 4).

Back

y = 2x - 2.

Front

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

Back

The y-intercept is 5.

Front

If two lines have slopes of 1/2 and -2, are they parallel, perpendicular, or neither?

Back

They are perpendicular because (1/2) * (-2) = -1.

Front

How do you determine if two lines are parallel from their equations?

Back

Two lines are parallel if their slopes are equal.

Front

What is the slope of the line represented by the equation y = -4x + 7?

Back

The slope is -4.