Algebra 2 Linear Equations Review

Front

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

Back

The slope-intercept form 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 y-intercept represent in 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

What is the common difference in an arithmetic sequence?

Back

The common difference is the constant amount added to each term to get to the next term.

Front

Write the equation of a line with a slope of -3 and a y-intercept of -3.

Back

The equation is y = -3x - 3.

Front

Convert the equation y + 9 = 3(x - 1) to slope-intercept form.

Back

The slope-intercept form is y = 3x - 12.

Front

What is the y-intercept of the equation 2x - 5y = 35?

Back

The y-intercept is (0, -7).

Front

Identify the first term of the sequence defined by a_n = 6 + 5(n - 1).

Back

The first term (when n=1) is 6.

Front

What is the formula for the nth term of an arithmetic sequence?

Back

The nth term is given by a_n = a_1 + (n - 1)d, where a_1 is the first term and d is the common difference.

Front

How do you determine if a sequence is arithmetic?

Back

A sequence is arithmetic if the difference between consecutive terms is constant.