Understanding Slope-Intercept Form | The Equation, Slope, and Y-Intercept of a Line

y = 1/6x + 5

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

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

In this case, the equation is y = 1/6x + 5. Here, 1/6 is the slope of the line, and 5 is the y-intercept.

To better understand this equation, let’s break it down:

1. Slope (1/6): The slope of a line indicates how steep the line is. In this case, the slope is 1/6 which means that for every 6 units you move horizontally to the right, you move 1 unit vertically upwards.

2. Y-intercept (5): The y-intercept is the point where the line intersects the y-axis. In this equation, the y-intercept is 5, which means that the line will cross the y-axis at the point (0, 5).

By using the slope and the y-intercept, you can easily plot the graph of this line.

To do so, start by plotting the y-intercept, which is the point (0, 5). Then, use the slope to identify additional points. For instance, if you move 6 units to the right from the y-intercept, you will move 1 unit up. This means that you can plot another point at (6, 6). Repeat this process several times if desired, and then connect the plotted points with a straight line.

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