3.5 Equations of Par and Perp Lines

Front

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

Back

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

Front

How do you find the slope of a line given two points (x₁, y₁) and (x₂, y₂)?

Back

m = (y₂ - y₁) / (x₂ - x₁)

Front

What does it mean for two lines to be parallel?

Back

Two lines are parallel if they have the same slope and will never intersect.

Front

What does it mean for two lines to be perpendicular?

Back

Two lines are perpendicular if the product of their slopes is -1.

Front

If a line has a slope of 3, what is the slope of a line that is perpendicular to it?

Back

The slope of the perpendicular line is -1/3.

Front

Write the equation of a line that is parallel to y = 2x + 1 and passes through the point (3, 4).

Back

y = 2x - 2.

Front

What is the slope of the line represented by the equation y = -4x + 5?

Back

The slope is -4.

Front

Determine if the lines y = 1/2x + 3 and y = -2x + 1 are parallel, perpendicular, or neither.

Back

They are perpendicular.

Front

What is the y-intercept of the line y = 3x - 6?

Back

The y-intercept is -6.

Front

If two lines have equations y = 5x + 2 and y = 5x - 4, what can be said about them?

Back

They are parallel.