Algebra 1 Review of Chapter 4

Front

What is point-slope form of a linear equation?

Back

The point-slope form of a linear equation is given by the formula: y - y₁ = m(x - x₁), where m is the slope and (x₁, y₁) is a point on the line.

Front

Write the equation in point-slope form for a line with slope m = -5 through the point (-3, 4).

Back

y - 4 = -5(x + 3)

Front

What is the equation of the line of best fit for a given set of data?

Back

The equation of the line of best fit is a linear equation that best represents the data points in a scatter plot, often found using linear regression.

Front

What does a positive slope indicate about a linear relationship?

Back

A positive slope indicates that as one variable increases, the other variable also increases.

Front

What does a negative slope indicate about a linear relationship?

Back

A negative slope indicates that as one variable increases, the other variable decreases.

Front

What is slope-intercept form of a linear equation?

Back

The slope-intercept form of a linear equation is given by the formula: y = mx + b, where m is the slope and b is the y-intercept.

Front

Write the equation of the line in slope-intercept form for a line with slope -3/2 and y-intercept 4.

Back

y = (-3/2)x + 4

Front

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

Back

The y-intercept is the point where the line crosses the y-axis, representing the value of y when x = 0.

Front

What does it mean if a scatter plot shows no correlation?

Back

No correlation means there is no apparent relationship between the two variables; changes in one variable do not predict changes in the other.

Front

What is the formula for finding the slope between two points (x₁, y₁) and (x₂, y₂)?

Back

The slope (m) is calculated using the formula: m = (y₂ - y₁) / (x₂ - x₁).