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

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined.

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0.

Front

Write the equation of a line with a slope of 5 and a y-intercept of 3 in slope-intercept form.

Back

y = 5x + 3.

Front

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

Back

The slope of a line perpendicular to it would be 1/2 (the negative reciprocal of -2).

Front

What is the equation of a vertical line that passes through x = 4?

Back

The equation is x = 4.

Front

What is the equation of a horizontal line that passes through y = -3?

Back

The equation is y = -3.