Understanding the equation y = x – 3 | Linear equation in slope-intercept form with a slope of 1 and y-intercept of -3

y = x – 3

The equation y = x – 3 represents a linear equation in slope-intercept form

The equation y = x – 3 represents a linear equation in slope-intercept 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 case, the equation y = x – 3 indicates that the slope of the line is 1 (since the coefficient of x is 1) and the y-intercept is -3 (as the constant term is -3).

The slope of 1 means that for every 1 unit increase in x, y will increase by 1 unit as well. The y-intercept of -3 signifies that the line crosses the y-axis at the point (0, -3).

To graph this equation on a coordinate plane, you can plot the y-intercept at (0, -3) and then use the slope to find more points. The slope of 1 can be visualized as the ratio “up 1, over 1”. So, starting from the y-intercept, you can move up 1 unit and over 1 unit to find another point on the line.

Continuing this process, you can draw a straight line connecting these points and extending it in both directions to represent the entire line.

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