Writing Parallel and Perpendicular Equations of Lines.

Front

What are the characteristics of parallel lines?

Back

Parallel lines have the same slope and never intersect.

Front

What are the characteristics of perpendicular lines?

Back

Perpendicular lines have slopes that are negative reciprocals of each other.

Front

How do you determine if two lines are parallel, perpendicular, or neither?

Back

Compare their slopes: if they are equal, the lines are parallel; if the product of their slopes is -1, they are perpendicular; otherwise, they are neither.

Front

What is the slope of a line perpendicular to a line with a slope of 3?

Back

The slope of the perpendicular line is -1/3.

Front

Write the equation of a line in slope-intercept form.

Back

The slope-intercept form is 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?

Back

Use the formula m = (y2 - y1) / (x2 - x1).

Front

What is the slope of a line parallel to y = -5x + 2?

Back

The slope of the parallel line is -5.

Front

If a line has a slope of 1/4, what is the slope of a line perpendicular to it?

Back

The slope of the perpendicular line is -4.

Front

How do you write the equation of a line given a point and a slope?

Back

Use the point-slope form: y - y1 = m(x - x1), where (x1, y1) is the point and m is the slope.

Front

What is the y-intercept of the line y = 3x + 4?

Back

The y-intercept is 4.