Understanding Linear Equations | The Equation y = (5/2)x + 2 and Its Graph

y = 5/2x + 2

The equation y = (5/2)x + 2 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 = (5/2)x + 2 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 equation, the slope (m) is 5/2, which means that for every increase of 1 in the x-coordinate, the y-coordinate increases by 5/2. The slope is also the ratio of the change in y to the change in x. In this case, for every 2 units increase in x, there is a corresponding increase of 5 units in y.

The y-intercept (b) is 2, which represents the value of y when x is equal to 0. It is the point where the line intersects the y-axis.

To graph this equation, you can start by plotting the y-intercept point at (0, 2). From there, you can use the slope to find other points on the line. For example, if you move 2 units to the right (increase x by 2), you would move 5 units up (increase y by 5/2). This would give you another point on the line, such as (2, 4.5). You can continue this process to find more points and then connect them with a straight line.

Alternatively, you can calculate the equation of the line using the slope-intercept form, which is y = mx + b. In this case, the equation would become y = (5/2)x + 2.

I hope this explanation helps! Let me know if you have any further questions.

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