Graphing a Linear Function | Equation y = x – 3, Slope 1, and Y-Intercept -3

y = x – 3

The equation y = x – 3 represents a linear function with a slope of 1 and a y-intercept of -3

The equation y = x – 3 represents a linear function with a slope of 1 and a y-intercept of -3. In other words, for every unit increase in x, y will increase by 1.

To graph this equation, you can start by plotting the y-intercept on the y-axis, which is -3. Then, using the slope, you can find another point on the line. Since the slope is 1, it means that for every unit increase in x, y increases by 1. So, from the y-intercept (-3), if you move one unit to the right, you will end up at (1, -2) because y increases by 1 and x increases by 1.

Once you have these two points, you can draw a straight line through them to represent the graph of the equation y = x – 3.

It is also worth noting that the equation can be rearranged to solve for x in terms of y by adding 3 to both sides of the equation. This gives x = y + 3, which shows that x is equal to y plus 3. This form of the equation represents the same line but from a different perspective.

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