Algebra 1- Semester 1 Review

Front

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

Back

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

Front

How do you convert a linear equation from point-slope form to slope-intercept form?

Back

To convert from point-slope form (y - y₁ = m(x - x₁)) to slope-intercept form (y = mx + b), solve for y.

Front

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

Back

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

Front

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

Back

The slope m is calculated as m = (y₂ - y₁) / (x₂ - x₁).

Front

What does the slope of a line represent?

Back

The slope of a line represents the rate of change of y with respect to x; it indicates 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 by the value of b in the slope-intercept form y = mx + b.

Front

How do you solve a linear equation for x?

Back

To solve a linear equation for x, isolate x on one side of the equation using inverse operations.

Front

What is a solution to a linear equation?

Back

A solution to a linear equation is a pair of values (x, y) that makes the equation true.

Front

How can you check if a point is a solution to a linear equation?

Back

To check if a point (x, y) is a solution, substitute x into the equation and see if the resulting y equals the given y.

Front

What is the significance of the slope being positive, negative, zero, or undefined?

Back

A positive slope indicates the line rises, a negative slope indicates it falls, a zero slope indicates a horizontal line, and an undefined slope indicates a vertical line.