PFF - Writing Parallel and Perpendicular Equations

Front

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

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 (x1, y1) and (x2, y2)?

Back

The slope (m) is calculated as 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

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

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 slope of a line parallel to y = 3x + 2?

Back

The slope of a parallel line is also 3.

Front

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

Back

The slope of a perpendicular line is 1/2 (the negative reciprocal of -2).

Front

How do you convert the standard form of a line Ax + By = C to slope-intercept form?

Back

Solve for y to get y = (-A/B)x + (C/B).

Front

What is the equation of a line with a slope of 4 passing through the origin?

Back

The equation is y = 4x.

Front

If a line has a slope of -1 and passes through the point (2, 3), what is its equation?

Back

The equation is y - 3 = -1(x - 2), which simplifies to y = -x + 5.