Linear Equations Review

Front

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

Back

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

Front

What does the slope of a line represent?

Back

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

Front

What is the y-intercept of a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis, represented as (0, b) in the equation y = mx + b.

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 standard form of a linear equation?

Back

Ax + By = C, where A, B, and C are integers and A ≥ 0.

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that as x increases, y decreases, meaning the line falls from left to right.

Front

What is the significance of the line of best fit?

Back

The line of best fit summarizes the trend of a data set, minimizing the distance between the line and all data points.

Front

How can you determine if a line is a line of best fit?

Back

A line is a line of best fit if it closely follows the trend of the data points, ideally passing through the center of the data.

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

What does it mean if a line has a slope of zero?

Back

A slope of zero means the line is horizontal, indicating that y does not change as x changes.