Algebra 1 Linear Equation Review

Front

What is the standard form of a linear equation?

Back

The standard form of a linear equation is Ax + By = C, where A, B, and C are integers, and A should be non-negative.

Front

How do you find the slope of a line given two points?

Back

The slope (m) of a line passing through two points (x1, y1) and (x2, y2) is calculated using the formula m = (y2 - y1) / (x2 - x1).

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 convert from slope-intercept form to standard form?

Back

To convert from slope-intercept form (y = mx + b) to standard form (Ax + By = C), rearrange the equation to isolate the terms involving x and y on one side.

Front

What are opposite reciprocals in relation to slopes of perpendicular lines?

Back

Two lines are perpendicular if the product of their slopes is -1. This means that if one slope is m, the other slope is -1/m.

Front

What is the y-intercept of a line?

Back

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

Front

How can you determine if two lines are parallel?

Back

Two lines are parallel if they have the same slope and different y-intercepts.

Front

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

Back

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

Front

What does it mean for a slope to be undefined?

Back

A slope is undefined when a line is vertical, meaning it does not have a defined rise over run (change in y over change in x).

Front

How do you graph a linear equation in slope-intercept form?

Back

To graph a linear equation in slope-intercept form, start at the y-intercept (0, b) and use the slope (rise/run) to find another point on the line.