Understanding Linear Equations | Graphing y = 2x – 4 and Its Slope

y = 2x – 4

The equation y = 2x – 4 represents a linear equation in the form of y = mx + b, where m is the slope of the line and b is the y-intercept

The equation y = 2x – 4 represents a linear equation in the form of y = mx + b, where m is the slope of the line and b is the y-intercept.

In this case, the equation y = 2x – 4 indicates that the line has a slope of 2 and a y-intercept of -4. The slope of 2 means that for every unit increase in x, there will be a corresponding increase of 2 units in y.

To graph this equation, you can start by plotting the y-intercept, which is -4. This is the point where the line intersects the y-axis. Next, you can use the slope of 2 to find other points on the line. For example, for x = 0, which is another common point, you can substitute it into the equation to calculate y:

y = 2(0) – 4
y = -4

So, the point (0, -4) lies on the line. By connecting the y-intercept and this point, as well as other points you can find using the same approach, you can obtain a straight line that represents the equation y = 2x – 4.

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