Linear Equation in Standard Form | Explained with Examples and Graph

y = x – 2

In mathematics, the equation y = x – 2 represents a linear equation in standard form

In mathematics, the equation y = x – 2 represents a linear equation in standard form. It is in the form of y = mx + b, where m represents the slope of the line and b represents the y-intercept.

In this specific equation y = x – 2, the slope (m) is 1, and the y-intercept (b) is -2. This means that the line has a slope of 1, which indicates that for every increase of 1 unit in the x-coordinate, the y-coordinate increases by 1. The y-intercept of -2 means that the line intersects the y-axis at the point (0, -2), indicating that when x is 0, y is -2.

Using this equation, you can determine the y-coordinate for any given x-coordinate. For example, if x = 3, you can substitute it into the equation to find the value of y:
y = 3 – 2
y = 1
Therefore, when x is 3, y is 1. Similarly, if x is -5, you can substitute it into the equation to find y:
y = -5 – 2
y = -7
Thus, when x is -5, y is -7.

The equation y = x – 2 represents a straight line with a slope of 1 that passes through the point (0, -2). It can be graphed on a coordinate plane as a line that extends infinitely in both the positive and negative directions. The line is inclined upwards from left to right, illustrating the positive slope.

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