Algebra Unit 4 Extra Review

Front

What is the standard form of a linear equation?

Back

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

Front

How do you convert the 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 get all terms involving x and y on one side.

Front

What is the slope of a line?

Back

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

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 by the value of y when x = 0.

Front

How do you find the slope between two points (x1, y1) and (x2, y2)?

Back

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

Front

What is the equation of a vertical line?

Back

The equation of a vertical line is written as x = a, where 'a' is the x-coordinate of any point on the line.

Front

What is the equation of a horizontal line?

Back

The equation of a horizontal line is written as y = b, where 'b' is the y-coordinate of any point on the line.

Front

How do you write the equation of a line given two points?

Back

First, calculate the slope using the two points, then use the point-slope form (y - y1 = m(x - x1)) to write the equation.

Front

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

Back

The point-slope form is written as 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 two lines to be parallel?

Back

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