3/21 Newcomers Equations of Parallel Lines

Front

What is the slope of a line parallel to y = 5x + 5?

Back

The slope is 5.

Front

How do you find the equation of a line parallel to a given line?

Back

Use the same slope as the given line and the point through which the new line passes.

Front

What is the equation of a line parallel to y = x + 3 that passes through (5, 3)?

Back

y = x - 2.

Front

If a line has the equation y = -3/5x - 3, what is the slope of a parallel line?

Back

The slope is -3/5.

Front

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

Back

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

Front

What does it mean for two lines to be parallel?

Back

They have the same slope and will never intersect.

Front

Write the equation of a line parallel to y = 5x + 7 that passes through (0, -2).

Back

y = 5x - 2.

Front

What is the y-intercept of the line y = 5x - 20?

Back

The y-intercept is -20.

Front

How do you determine if two lines are parallel from their equations?

Back

Check if their slopes are equal.

Front

Write an equation of a line parallel to y = x - 5 that passes through (1, -2).

Back

y = x - 3.