Writing Linear Equations

Front

What is the slope of the line represented by the equation y + 1 = -3(x - 5)?

Back

-3

Front

What do the slopes of perpendicular lines represent?

Back

The slopes of perpendicular lines are opposite reciprocals.

Front

What is the slope of parallel lines?

Back

The slopes of parallel lines are identical.

Front

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

Back

y - y₁ = m(x - x₁)

Front

What is the slope of the line represented by the equation y - 3 = 2(x + 4)?

Back

2

Front

If two lines have slopes of -2/3 and 3/2, what is their relationship?

Back

They are perpendicular.

Front

What does the term 'slope' refer to in a linear equation?

Back

The slope refers to the steepness of the line, calculated as the rise over run.

Front

How can you determine if two lines are parallel?

Back

Two lines are parallel if they have the same slope.

Front

What is the y-intercept in the equation y = mx + b?

Back

The y-intercept is the value of y when x = 0, represented by b.

Front

What does the variable 'm' represent in the equation y = mx + b?

Back

The variable 'm' represents the slope of the line.