Applying Linear Relationships

Front

What are the slopes of perpendicular lines?

Back

Opposite reciprocals.

Front

Write an equation of a line that passes through the point (5,-1) and is parallel to the line y = (-3/5)x -3.

Back

y = (-3/5)x + 2

Front

In a direct variation, if y = 39 when x = 3, what is the value of y when x = 2?

Back

26

Front

If y varies directly as x and y = 18 when x = 3, what is y when x = 7?

Back

42

Front

Which line goes through the point (-3, 4) and is perpendicular to y = 3/2x + 6?

Back

y = -2/3x + 2

Front

What is the definition of a linear relationship?

Back

A relationship between two variables that can be represented by a straight line on a graph.

Front

What is the slope-intercept form of a linear equation?

Back

y = mx + b, where m is the slope and b is the y-intercept.

Front

How do you find the slope of a line given two points (x1, y1) and (x2, y2)?

Back

Slope (m) = (y2 - y1) / (x2 - x1).

Front

What does it mean for two lines to be parallel?

Back

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

Front

What does it mean for two lines to be perpendicular?

Back

Two lines are perpendicular if the product of their slopes is -1.