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

Front

What does the slope of a line represent?

Back

The slope represents the rate of change of y with respect to x; it indicates how steep the line is.

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

What is a horizontal line?

Back

A horizontal line has a slope of 0 and can be represented by the equation y = k, where k is a constant.

Front

What is a vertical line?

Back

A vertical line has an undefined slope and can be represented by the equation x = k, where k is a constant.

Front

How do you convert from slope-intercept form to standard form?

Back

To convert, rearrange the equation y = mx + b to the form Ax + By = C.

Front

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

Back

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

Front

What does it mean for two lines to be parallel?

Back

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

Front

What does it mean for two lines to be perpendicular?

Back

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