Parallel - Linear Equations

Front

What is the definition of parallel lines in the context of linear equations?

Back

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

Front

Given the equation in point slope form, y - 1 = 3(x + 2), what is the slope of the line?

Back

The slope of the line is 3.

Tags

CCSS.8.EE.B.5

Front

If two lines are parallel, what can be said about their slopes?

Back

If two lines are parallel, they have the same slope.

Tags

CCSS.8.EE.B.6

Front

What is the slope-intercept form of a linear equation?

Back

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

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

Given the equation y = 5x + 10, what is the slope?

Back

The slope is 5.

Tags

CCSS.8.EE.B.5

Front

If a line has a slope of 3, which of the following equations represents a parallel line? y = 3x + 1, y = 2x + 1, y = -3x + 1, y = 4x + 1.

Back

y = 3x + 1 represents a parallel line.

Front

What does it mean if two lines have different slopes?

Back

If two lines have different slopes, they are not parallel and will eventually intersect.

Tags

CCSS.8.EE.C.8A

Front

How can you determine if two equations are parallel?

Back

Two equations are parallel if they have the same slope when expressed in slope-intercept form.

Tags

CCSS.8.EE.B.5

Front

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

Back

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

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

What is the y-intercept of the line represented by the equation y = 3x + 7?

Back

The y-intercept is 7.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3