Graphing Standard Form

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 and B are not both zero.

Front

How do you find the x-intercept of a linear equation?

Back

To find the x-intercept, set y = 0 in the equation and solve for x.

Front

How do you find the y-intercept of a linear equation?

Back

To find the y-intercept, set x = 0 in the equation and solve for y.

Front

What does the x-intercept represent in a real-world context?

Back

The x-intercept represents the value of x when y is zero, often indicating a starting point or a threshold in real-world scenarios.

Front

What does the y-intercept represent in a real-world context?

Back

The y-intercept represents the value of y when x is zero, often indicating an initial condition or starting value in real-world scenarios.

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

How can you determine if a line is vertical?

Back

A line is vertical if it can be represented by an equation of the form x = a, where 'a' is a constant.

Front

How can you determine if a line is horizontal?

Back

A line is horizontal if it can be represented by an equation of the form y = b, where 'b' is a constant.

Front

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

Back

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

Front

What does it mean for two lines to be parallel?

Back

Two lines are parallel if they have the same slope and will never intersect.