Linear Equations in Standard Form

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.

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

The slope (m) can be found using the formula m = -A/B from the standard form Ax + By = C.

An undefined slope indicates a vertical line, which occurs when the equation is of the form x = a.

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

The coefficients A and B determine the slope and direction of the line.

The slope indicates the steepness of the line, while the y-intercept is the point where the line crosses the y-axis.

To convert, solve for y to get the equation in the form y = mx + b.

The y-intercept is (0, 5).

The x-intercept is (3, 0) and the y-intercept is (0, 6).