Writing equations of lines parallel and perpendicular

Front

What is the slope of a line parallel to the line represented by the equation 5x + 2y = 1?

Back

The slope of a line parallel to 5x + 2y = 1 is the same as the slope of that line, which is -\frac{5}{2}.

Front

How do you find the equation of a line parallel to a given line that passes through a specific point?

Back

To find the equation of a line parallel to a given line, use the same slope as the given line and apply the point-slope form of the equation: y - y_1 = m(x - x_1), where (x_1, y_1) is the point.

Front

What is the slope of a line perpendicular to the line represented by the equation 3x - y = 2?

Back

The slope of a line perpendicular to 3x - y = 2 is the negative reciprocal of the slope of the given line, which is 1/3.

Front

Write the equation of a line parallel to y = 2x + 3 that passes through the point (4, 5).

Back

The equation is y = 2x - 3.

Front

What is the relationship between the slopes of parallel lines?

Back

Parallel lines have the same slope.

Front

What is the relationship between the slopes of perpendicular lines?

Back

Perpendicular lines have slopes that are negative reciprocals of each other.

Front

Write the equation of a line perpendicular to y = -rac{1}{2}x + 4 that passes through the point (2, 1).

Back

The equation is y = 2x - 3.

Front

How do you convert the equation of a line from standard form to slope-intercept form?

Back

To convert from standard form Ax + By = C to slope-intercept form y = mx + b, solve for y.

Front

What is the slope of the line represented by the equation 2x + 3y = 6?

Back

The slope is -\frac{2}{3}.

Front

Write the equation of a line parallel to y = 4x - 1 that passes through the point (0, 2).

Back

The equation is y = 4x + 2.