Parallel - Linear Equations

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

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.

Front

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

Back

Two lines are parallel if their slopes (m) are equal.

Front

Given the equations y = 2x + 3 and y = 2x - 5, are they parallel?

Back

Yes, they are parallel because they have the same slope (m = 2).

Front

What does the point-slope form of a linear equation look like?

Back

The point-slope form is y - y1 = m(x - x1), where (x1, y1) is a point on the line and m is the slope.

Front

If a line has a slope of 4, what is the slope of a line parallel to it?

Back

The slope of a line parallel to it is also 4.

Front

What is the y-intercept of the line represented by the equation y = 3x + 2?

Back

The y-intercept is 2.

Front

Given the point-slope form y - 1 = 3(x + 2), identify the slope and a point on the line.

Back

The slope is 3, and a point on the line is (-2, 1).

Front

Which of the following equations represents a line with a slope of -5? y + 3 = -5(x - 2) or y - 2 = 2(x + 3)?

Back

y + 3 = -5(x - 2) represents a line with a slope of -5.

Front

What is the significance of the y-intercept in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis.