Linear Equations Review

Front

What is the formula to calculate the slope of a line from a graph?

Back

The slope can be calculated using the formula: slope = rise/run.

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.

Front

How do you identify the slope and y-intercept from the equation y = mx + b?

Back

In the equation y = mx + b, m represents the slope and b represents the y-intercept.

Front

What are the x- and y-intercepts of a linear equation?

Back

The x-intercept is the point where the line crosses the x-axis (y=0), and the y-intercept is where the line crosses the y-axis (x=0).

Front

How can you convert the 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.

Front

What does the slope of a line represent in a real-world context?

Back

The slope represents the rate of change between the two variables represented in the equation.

Front

What is the significance of the y-intercept in a linear equation?

Back

The y-intercept indicates the value of y when x is zero, representing the starting point of the line on the y-axis.

Front

How do you graph a linear equation given in slope-intercept form?

Back

To graph a linear equation in slope-intercept form, start at the y-intercept and use the slope to find another point.

Front

What is the relationship between parallel lines in terms of slope?

Back

Parallel lines have the same slope but different y-intercepts.

Front

What is the relationship between perpendicular lines in terms of slope?

Back

Perpendicular lines have slopes that are negative reciprocals of each other.