Graphing from 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 should be non-negative.

Front

How do you convert the equation y = mx + b to standard form?

Back

To convert y = mx + b to standard form, rearrange it to the form Ax + By = C by moving all terms involving variables to one side.

Front

What does the slope (m) represent in the equation y = mx + b?

Back

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

Front

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

Back

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

Front

How can 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

What is the x-intercept of the equation x + y = 4?

Back

The x-intercept is 4, found by setting y = 0: x + 0 = 4.

Front

What is the y-intercept of the equation x + y = 4?

Back

The y-intercept is 4, found by setting x = 0: 0 + y = 4.

Front

How do you graph the equation y = 4 + 2x?

Back

Start at the y-intercept (0, 4) and use the slope (2) to find another point by going up 2 units and right 1 unit.

Front

What is the slope of the equation 2x - 5y = 1?

Back

The slope is 2/5, found by rearranging to slope-intercept form (y = mx + b).

Front

How do you determine if two lines are parallel?

Back

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