Graph Y=1/3X+2: Explanation And Solution In Relaxed English Language

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Introduction

If you are a student of mathematics, you must be familiar with graphs. Graphs are used to represent mathematical equations visually. In this article, we will discuss how to graph y=1/3x+2 in a relaxed English language. This equation is a linear equation that falls under the category of slope-intercept form.

Explanation of the equation

The equation y=1/3x+2 is in the form of y=mx+b, where m is the slope and b is the y-intercept. The slope of the equation is 1/3, which means that for every one unit increase in x, y increases by 1/3. The y-intercept of the equation is 2, which means that the point (0,2) lies on the graph.

Plotting the graph

To plot the graph, we need to find at least two points that lie on the graph. We can find these points by substituting different values of x in the equation and solving for y. For example, if x=3, then y=1/3(3)+2=3. We can write this point as (3,3). Similarly, if x=-3, then y=1/3(-3)+2=1. We can write this point as (-3,1).

Choosing the scale

Before we plot the graph, we need to choose the scale for the x and y-axis. We can choose any scale, but it is better to choose a scale that shows the important features of the graph. In this case, we can choose a scale of 1 unit for the x-axis and 1 unit for the y-axis.

Drawing the axis

Once we have chosen the scale, we can draw the x and y-axis on a graph paper. We can label the x-axis as x and the y-axis as y. We can also label the points we found earlier on the graph.

Plotting the points

To plot the points, we can locate the x-value on the x-axis and the y-value on the y-axis. For example, to plot the point (3,3), we can locate 3 on the x-axis and 3 on the y-axis and mark the point where they intersect.

Drawing the line

Once we have plotted the points, we can draw a straight line passing through them. We can use a ruler to draw a straight line passing through the points (3,3) and (-3,1). This line represents the graph of the equation y=1/3x+2.

Interpreting the graph

The graph of the equation y=1/3x+2 is a straight line that passes through the point (0,2) and has a slope of 1/3. The slope of the line tells us that for every one unit increase in x, y increases by 1/3. The y-intercept of the line tells us that the point (0,2) lies on the line.

Conclusion

Graphing an equation is an important skill in mathematics. It helps us to visualize the relationship between two variables. In this article, we discussed how to graph y=1/3x+2 in a relaxed English language. We explained the equation, plotted the graph, and interpreted the graph. We hope that this article has helped you to understand how to graph a linear equation.