Algebra Chapter 4 Review

Front

What is the inverse of the function y = -4x - 12?

Back

y = -1/4x - 3

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 determine the correlation represented in a scatter plot?

Back

By observing the direction and strength of the points; no correlation means no discernible pattern.

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

What does the equation y = 3 represent?

Back

A horizontal line where the y-value is always 3, regardless of x.

Front

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

Back

Slope (m) = (y₂ - y₁) / (x₂ - x₁).

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, represented by the value of b in y = mx + b.

Front

What does a positive slope indicate about a linear relationship?

Back

As x increases, y also increases, indicating a direct relationship.

Front

What does a negative slope indicate about a linear relationship?

Back

As x increases, y decreases, indicating an inverse relationship.

Front

What is the formula to convert from point-slope form to slope-intercept form?

Back

Rearrange y - y₁ = m(x - x₁) to y = mx + b.