Writing Parallel and Perpendicular Equations of Lines.

Front

What is the slope of a line that is perpendicular to a line with a slope of -2/7?

Back

The slope of a line that is perpendicular to a line with slope -2/7 is 7/2.

Front

What is the relationship between the slopes of two parallel lines?

Back

Two lines that are parallel will have the same slope.

Front

What is the opposite reciprocal of a slope of 10?

Back

The opposite reciprocal of a slope of 10 is -1/10.

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 that is parallel to the line y = -1/2x - 1?

Back

The slope of a line parallel to y = -1/2x - 1 is -1/2.

Front

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

Back

The slope of a line that is perpendicular to a line with slope 4 is -1/4.

Front

What is the general form of the equation of a line?

Back

The general form of the equation of a line is Ax + By + C = 0.

Front

How do you convert the slope-intercept form to standard form?

Back

To convert from slope-intercept form (y = mx + b) to standard form (Ax + By = C), rearrange the equation to get all terms on one side.

Front

What is the slope of a line that passes through the points (1, 2) and (3, 6)?

Back

The slope of the line is (6 - 2) / (3 - 1) = 4/2 = 2.

Front

What is the equation of a line that passes through the point (2, 4) with a slope of 3?

Back

The equation of the line is y - 4 = 3(x - 2), which simplifies to y = 3x - 2.