Point-Slope Form

Front

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

Back

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

Front

How do you write the equation of a line parallel to another line in point-slope form?

Back

Use the same slope as the original line and the new point to write the equation.

Front

What does the slope represent in a linear equation?

Back

The slope represents the rate of change of y with respect to x, indicating how steep the line is.

Front

If a line has a slope of 0, what does that mean?

Back

The line is horizontal and does not rise or fall as x changes.

Front

What does an undefined slope indicate?

Back

An undefined slope indicates a vertical line, where x remains constant regardless of y.

Front

How do you find the slope from two points (x₁, y₁) and (x₂, y₂)?

Back

Slope (m) = (y₂ - y₁) / (x₂ - x₁).

Front

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

Back

The slope is -3.

Front

What is the significance of the point (x₁, y₁) in point-slope form?

Back

It is a specific point on the line used to write the equation.

Front

How can you convert point-slope form to slope-intercept form?

Back

Rearrange the equation to solve for y: y = mx + b.

Front

What is the slope of a line that is perpendicular to a line with a slope of 2/3?

Back

The slope of the perpendicular line is -3/2.