Writing Linear Equations

A linear equation is an equation that makes a straight line when graphed. It can be written in the form y = mx + b, where m is the slope and b is the y-intercept.

In the equation y = mx + b, 'm' represents the slope of the line, which indicates the steepness and direction of the line.

In the equation y = mx + b, 'b' represents the y-intercept, which is the point where the line crosses the y-axis.

The slope (m) can be calculated using the formula m = (y2 - y1) / (x2 - x1).

The slope of the line is 3.

The y-intercept of the line is 9.

Use the point-slope form: y - y1 = m(x - x1), where (x1, y1) is the point and m is the slope.

Using the point-slope form, the equation is y - 3 = -5(x - 2), which simplifies to y = -5x + 13.

The standard form of a linear equation is Ax + By = C, where A, B, and C are integers.

Rearranging gives -2x + y = 4, or 2x - y = -4.