Table to Equation & Graph to Equation

Front

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

Back

The slope-intercept form of a linear equation is given by y = mx + b, where m is the slope and b is the y-intercept.

Front

How do you identify the slope in the equation y = mx + b?

Back

In the equation y = mx + b, the slope (m) represents the rate of change of y with respect to x.

Front

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

Back

The y-intercept (b) is the value of y when x is 0, indicating where the line crosses the y-axis.

Front

How can you convert an equation from standard form to slope-intercept form?

Back

To convert from standard form (Ax + By = C) to slope-intercept form (y = mx + b), solve for y in terms of x.

Front

What is the significance of a positive slope in a linear equation?

Back

A positive slope indicates that as x increases, y also increases, representing an upward trend.

Front

What does a negative slope indicate in a linear equation?

Back

A negative slope indicates that as x increases, y decreases, representing a downward trend.

Front

How can you determine if two lines are parallel using their equations?

Back

Two lines are parallel if they have the same slope (m) in their slope-intercept forms.

Front

What does it mean for two lines to be perpendicular?

Back

Two lines are perpendicular if the product of their slopes is -1, meaning one slope is the negative reciprocal of the other.

Front

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

Back

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

Front

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

Back

The point-slope form of a linear equation is given by y - y1 = m(x - x1), where (x1, y1) is a point on the line.