Standard form and perpendicular/parallel

Front

What is standard form in algebra?

Back

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 determine if an equation is in standard form?

Back

An equation is in standard form if it can be rearranged to fit the format Ax + By = C, with A, B, and C as integers.

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, calculated as the rise over run (change in y over change in x).

Front

What is the slope of a line that is perpendicular to a line with slope m = 5/8?

Back

The slope of a line perpendicular to m = 5/8 is -8/5.

Front

What is the slope of a line that is parallel to a line with slope m = 4?

Back

The slope of a line parallel to m = 4 is also 4.

Front

How do you write the equation of a line in standard form given a slope and a point?

Back

Use the point-slope form (y - y1) = m(x - x1) and rearrange to standard form Ax + By = C.

Front

What is the x-intercept of a line?

Back

The x-intercept is the point where the line crosses the x-axis, which occurs when y = 0.

Front

What does it mean for two lines to be parallel?

Back

Two lines are parallel if they have the same slope and will never intersect.

Front

What does it mean for two lines to be perpendicular?

Back

Two lines are perpendicular if the product of their slopes is -1.

Front

How can you identify if two lines are parallel from their equations?

Back

If the coefficients of x and y in both equations are proportional, the lines are parallel.