Writing Parallel and Perpendicular Equations

Front

What is the slope of a line parallel to y = mx + b?

Back

The slope is the same, m.

Front

What is the slope of a line perpendicular to y = mx + b?

Back

The slope is the negative reciprocal of m, or -1/m.

Front

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

Back

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

Front

What is the point-slope form of a line?

Back

y - y1 = m(x - x1), where (x1, y1) is a point on the line.

Front

Convert the equation y = 2x - 3 to standard form.

Back

2x - y = 3.

Front

What is the standard form of a linear equation?

Back

Ax + By = C, where A, B, and C are integers.

Front

How do you determine if two lines are parallel?

Back

If their slopes are equal.

Front

How do you determine if two lines are perpendicular?

Back

If the product of their slopes is -1.

Front

Find the equation of a line parallel to y = 3x + 2 passing through (1, 4).

Back

y = 3x - 1.

Front

Find the equation of a line perpendicular to y = -2x + 5 passing through (2, 3).

Back

y = 1/2x + 2.