Topic 2: Parallel and Perpendicular Lines II

Front

What is the name of the equation: y - y₁ = m(x - x₁)?

Back

Point-slope form

Front

What is the slope of a line that is PERPENDICULAR to the line passing through the points (-1,4) and (2,6)?

Back

-3/2

Front

What is the correct midpoint formula for two endpoints (x₁, y₁) and (x₂, y₂)?

Back

Midpoint = (\frac{x₁ + x₂}{2}, \frac{y₁ + y₂}{2})

Front

What is the slope of a line that is PARALLEL to the line passing through the points (5,2) and (1,10)?

Back

-2

Front

How is the distance formula correctly written?

Back

Front

What does the slope of a line represent?

Back

The steepness or incline of the line, calculated as the ratio of the rise over the run.

Front

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

Back

The product of their slopes is -1.

Front

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

Back

Slope (m) = \frac{y₂ - y₁}{x₂ - x₁}.

Front

What is the formula for the slope-intercept form of a line?

Back

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

Front

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

Back

It is the point where the line crosses the y-axis.