Direct Variation, Equations 3 ways and Types of Lines

Front

What is direct variation?

Back

Direct variation is a relationship between two variables where one variable is a constant multiple of the other. It can be expressed as y = kx, where k is a non-zero constant.

Front

If $70.00 is earned in 5 hours, how much is earned in 22 hours?

Back

$308

Front

What is the slope of parallel lines?

Back

The slopes of parallel lines are identical.

Front

Write the equation for the direct variation given the table: (0,0), (1,3), (2,6).

Back

y = 3x

Front

What is the slope-intercept form of a line?

Back

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

Front

Write the equation in slope-intercept form for the line that passes through (4, -7) with a slope of -1/4.

Back

y = -1/4x - 6

Front

What are the slopes of perpendicular lines?

Back

The slopes of perpendicular lines are opposite reciprocals.

Front

If the slope of a line is 2, what is the slope of a line perpendicular to it?

Back

The slope of a line perpendicular to it is -1/2.

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.

Front

What does it mean for two lines to be perpendicular?

Back

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