Linear Equation 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

What does the slope represent in a linear equation?

Back

The slope represents the rate of change of y with respect to x, indicating how steep the line is.

Front

What is the y-intercept in the equation y = mx + b?

Back

The y-intercept is the value of y when x = 0, represented by b in the equation.

Front

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

Back

The slope m is calculated as m = (y2 - y1) / (x2 - x1).

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.

Front

What does a vertical line represent in terms of an equation?

Back

A vertical line is represented by an equation of the form x = a, where a is a constant.

Front

What does a horizontal line represent in terms of an equation?

Back

A horizontal line is represented by an equation of the form y = b, where b is a constant.

Front

What is the standard form of a linear equation?

Back

The standard form is Ax + By = C, where A, B, and C are integers.

Front

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

Back

Rearrange y = mx + b to Ax + By = C by moving terms to one side.

Front

What is the significance of the coefficients A and B in the standard form?

Back

A and B indicate the direction and steepness of the line; A is the coefficient of x and B is the coefficient of y.