Geo2.4 Parallel and Perpendicular Lines

Front

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

Back

The slope-intercept form is given by the equation 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

The slope (m) is calculated using the formula 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 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.

Front

If a line has a slope of 3, what is the slope of a line perpendicular to it?

Back

The slope of a line perpendicular to it would be -1/3.

Front

Write the slope-intercept form of a line with a slope of -2 and a y-intercept of 5.

Back

y = -2x + 5.

Front

Determine if the lines y = 2x + 3 and y = 2x - 1 are parallel, perpendicular, or neither.

Back

They are parallel because they have the same slope (2).

Front

Determine if the lines y = 1/2x + 4 and y = -2x + 1 are parallel, perpendicular, or neither.

Back

They are perpendicular because the product of their slopes (1/2 * -2) is -1.

Front

What is the slope of the line that passes through the points (1, 2) and (3, 6)?

Back

The slope is 2.

Front

If the equation of a line is y = 4x + 1, what is the slope?

Back

The slope is 4.