Standard Form Linear Equations

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

Which of the following is in standard form? y=3x-5, 3x+16=5y, 2/3 x + 9/13 y = 21, 5x+7y=-12

Back

5x + 7y = -12

Front

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

Back

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

Front

What is the x-intercept of the equation x + 4y = 7?

Back

(7, 0)

Front

What are the x- and y-intercepts of the equation x + y = -2?

Back

(-2, 0) and (0, -2)

Front

What is the slope-intercept form of a line?

Back

The slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

Front

What does the slope of a line represent?

Back

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

Front

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

Back

Rearrange the equation y = mx + b to the form Ax + By = C.

Front

What is the y-intercept of the equation y = 2x + 3?

Back

(0, 3)

Front

What is the relationship between the slopes of parallel lines?

Back

Parallel lines have the same slope.