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.

Tags

CCSS.HSG.CO.A.1

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.

Tags

CCSS.8.EE.B.6

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}.

Tags

CCSS.8.EE.B.5

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}.

Tags

CCSS.8.EE.B.5

Front

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

Back

The slope is 4.

Tags

CCSS.8.EE.B.5

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}.

Tags

CCSS.8.EE.B.5

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.

Tags

CCSS.8.EE.B.5

Front

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

Back

The slopes of two parallel lines are equal.

Tags

CCSS.8.EE.B.6