Parallel Lines Algebra

Front

What are parallel lines?

Back

Parallel lines are lines in a plane that never meet. They have the same slope but different y-intercepts.

Front

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

Back

Two lines are parallel if they have the same slope. For example, in the equations y = mx + b, if the values of m are equal, the lines are parallel.

Front

Given the equations y = 4x - 2 and y = 5 + 4x, are they parallel?

Back

Yes, they are parallel because both have a slope of 4.

Front

What is the slope of the line represented by the equation y = \frac{4}{3}x + 1?

Back

The slope of the line is \frac{4}{3}.

Front

Which of the following lines is parallel to y = \frac{4}{3}x + 1? y = \frac{4}{3}x + 5, y = -\frac{4}{3}x + 1, y = \frac{3}{4}x + 1, y = -\frac{3}{4}x + 1

Back

y = \frac{4}{3}x + 5 is parallel because it has the same slope of \frac{4}{3}.

Front

How do you calculate the slope between two points (x1, y1) and (x2, y2)?

Back

The slope (m) is calculated using the formula m = \frac{y2 - y1}{x2 - x1}.

Front

Calculate the slope between the points (4, 3) and (7, 15).

Back

The slope is 4.

Front

If the slope of one line is \frac{1}{4}, what is the slope of a line parallel to it?

Back

The slope of a parallel line is also \frac{1}{4}.

Front

If the slope of one line is -1, what is the slope of a line parallel to it?

Back

The slope of a parallel line is also -1.

Front

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

Back

The slopes of two parallel lines are equal.