Understanding the Equation of a Line | y = mx + b and How to Graph it

y = 5/4x + 3

The equation given is in the form of y = mx + b, where m represents the slope of the line and b represents the y-intercept

The equation given 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 = 5/4x + 3 represents a line with a slope of 5/4 and a y-intercept of 3.

The slope, 5/4, tells us how the y-values change as the x-values change. Specifically, for every 1 unit increase in x, the y-value increases by 5/4 units. If x were to decrease by 1 unit, then the y-value would decrease by 5/4 units.

The y-intercept, 3, represents the point where the line intersects the y-axis. It is the value of y when x = 0. In other words, the line crosses the y-axis at the point (0, 3).

To graph the line, you can start by plotting the y-intercept (0, 3) on the Cartesian plane. Then, using the slope, you can find additional points on the line. For example, if you increase x by 4 units, the corresponding y-value would increase by 5 units, giving you the point (4, 8). If you decrease x by 4 units, the corresponding y-value would decrease by 5 units, giving you the point (-4, -2). Continuing this process will give you more points on the line.

Once you have multiple points, you can connect them with a straight line to graph the equation y = 5/4x + 3.

It’s important to note that the equation represents a linear relationship between x and y, meaning the graph will be a straight line.

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