Parallel equations given a point

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

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 the line y = 2x + 3?

Back

The slope is 2.

Front

If a line has a slope of 3, what is the slope of a line parallel to it?

Back

The slope of a parallel line is also 3.

Front

Write the equation of a line parallel to y = 1/2x + 4 that passes through the point (2, 3).

Back

y = 1/2x + 2.

Front

What is the y-intercept of the line y = 4x - 5?

Back

The y-intercept is -5.

Front

How do you convert the equation y = mx + b to standard form?

Back

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

Front

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

Back

y = -x + 2.

Front

What is the general form of a linear equation?

Back

Ax + By + C = 0, where A, B, and C are constants.

Front

If a line is represented by the equation y = 3x + 1, what is the slope?

Back

The slope is 3.