2023 Perpendicular Slopes & Writing Equations

Front

What is the definition of parallel lines?

Back

Parallel lines are lines in a plane that never meet. They have the same slope.

Front

What is the definition of perpendicular lines?

Back

Perpendicular lines are lines that intersect at a right angle (90 degrees). The slopes of perpendicular lines are negative reciprocals of each other.

Front

If two lines have slopes m1 and m2, what condition must be met for them to be parallel?

Back

For two lines to be parallel, their slopes must be equal: m1 = m2.

Front

If two lines have slopes m1 and m2, what condition must be met for them to be perpendicular?

Back

For two lines to be perpendicular, the product of their slopes must equal -1: m1 * m2 = -1.

Front

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

Back

Front

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

Back

Front

Write the equation of a line in slope-intercept form given a slope of 2 and a y-intercept of 3.

Back

The equation is y = 2x + 3.

Front

What is the slope of the line represented by the equation 2y - 4x = 8?

Back

First, rewrite in slope-intercept form: y = 2x + 4. The slope is 2.

Front

What is the slope of the line represented by the equation x = 5?

Back

The slope is undefined because it is a vertical line.

Front

What is the slope of the line represented by the equation y = -4?

Back

The slope is 0 because it is a horizontal line.