Writing Parallel and Perpendicular Equations

Front

What is the slope of a line parallel to y = 3x - 1?

Back

The slope is 3.

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), where (x1, y1) is the point and m is the slope.

Front

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

Back

The slope is 1/2.

Front

What is the equation of a line with a slope of 3 passing through (2, 5)?

Back

y = 3x - 1.

Front

How do you determine if two lines are parallel?

Back

Two lines are parallel if they have the same slope.

Front

How do you determine if two lines are perpendicular?

Back

Two lines are perpendicular if the product of their slopes is -1.

Front

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

Back

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

Front

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

Back

y = mx + b, where m is the slope and b is the y-intercept.

Front

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

Back

y = 3x - 2.

Front

Write the equation of a line with a slope of -2/3 passing through (5, -2).

Back

y = (-2/3)x + 4/3.