Writing a Linear Equation from a Table or Two Points

Front

What is the general form of a linear equation?

Back

The general form of a linear equation is Ax + By = C, where A, B, and C are constants.

Front

How do you find the slope of a line given two points (x1, y1) and (x2, y2)?

Back

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

Front

What does the slope of a line 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 of a linear equation?

Back

The y-intercept is the value of y when x = 0, representing the point where the line crosses the y-axis.

Front

How can you write the equation of a line in slope-intercept form?

Back

The slope-intercept form of a line is written as y = mx + b, where m is the slope and b is the y-intercept.

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

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

Back

To convert, solve for y to isolate it on one side of the equation.

Front

What is the significance of the coefficients in the equation y = mx + b?

Back

In this equation, m represents the slope and b represents the y-intercept.

Front

How can you determine if two lines are parallel?

Back

Two lines are parallel if they have the same slope (m) but different y-intercepts (b).

Front

How can you determine if two lines are perpendicular?

Back

Two lines are perpendicular if the product of their slopes is -1 (m1 * m2 = -1).