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Elena L [17]
2 years ago
12

Graph the line y= 2/3x +1

Mathematics
2 answers:
lbvjy [14]2 years ago
8 0

\huge\boxed{Hello,\:hope\:you\:are\:having\:a\:wonderful\:day.}We are asked to graph the line y=2/3x+1.

2/3 is the slope of this line (Rise/Run)

The rise is how many units we move up; the run is how many units we move left or right.

For this line, 2 is the rise, and 3 is the run.

Now, 1 is the y-intercept. (where the graph touches the y-axis)

First, plot this point: (0,1)

Then, move 2 units up and 3 to the left (Up 2, over 3, up 2, over 3)

When you have a line, take a ruler and connect these points, and you will have the graph of y=2/3x+1.

\huge\bold{Hope\:it\:helps!}

\huge\mathfrak{LoveLastsAllEternity}

\huge\sf{Good\:luck}

Dmitry [639]2 years ago
3 0

Step-by-step explanation:

Given the linear equation, y = ⅔x + 1, where the <u>slope</u>, m = ⅔, and the y-intercept, (0, 1) where<em> b</em> = 1.

<h3><u>Start at the y-intercept:</u></h3>

In order to graph the given linear equation, start by plotting the coordinates of the y-intercept, (0, 1). As we know, the <u>y-intercept</u> is the point on the graph where it crosses the y-axis. It coordinates are (0, <em>b</em>), for which the value of b represents the value of the y-intercept in slope-intercept form, y = mx + b.

<h3><u>Plot other points using the slope:</u></h3>

From the y-intercept, (0, 1), we must use the slope, m =  ⅔ (<em>rise</em> 2, <em>run</em> 3) to plot the other points on the graph. Continue the process until you have sufficient amount of plotted points on the graph that you could connect a line with.

Attached is a screenshot of the graphed linear equestion, which demonstrates how I plotted the other points on the graph using the "rise/run" techniques" discussed in the previous section of this post.    

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