Standard Form of Linear Equations

Front

What is the standard form of a linear equation?

Back

The standard form of a linear equation is expressed as 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 are the x- and y-intercepts of the equation 4x - 10y = 20?

Back

The x-intercept is (5, 0) and the y-intercept is (0, -2).

Front

Convert the equation 3x - 6y = 18 to slope-intercept form.

Back

The slope-intercept form is y = \frac{1}{2}x - 3.

Front

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

Back

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

Front

What is the slope of the line represented by the equation 5x - 2y = 10?

Back

The slope is \frac{5}{2}.

Front

What does the term 'slope' represent in a linear equation?

Back

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

Front

What is the y-intercept of the line 5x - 2y = 10?

Back

The y-intercept is (0, -5).

Front

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

Back

Isolate y on one side of the equation to express it in the form y = mx + b.