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Graph the equation after rewriting it on in slope intercept form. 2y-4=3x

Sagot :

We will solve as follows:

First, we rewrite it in slope-intercept form:

[tex]2y-4=3x\Rightarrow2y=3x+4[/tex][tex]\Rightarrow y=\frac{3}{2}x+2[/tex]

Second, to graph it we find two points using the equation and then plot the line using them. I will find the points for which x = 0 & y = 0, but any point in the line will work. That is:

*For x = 0:

[tex]y=\frac{3}{2}(0)+2\Rightarrow y=2[/tex]

So, we have the point:

[tex]A(0,2)[/tex]

*For y = 0:

[tex]2(0)-4=3x\Rightarrow3x=-4[/tex][tex]\Rightarrow x=-\frac{4}{3}[/tex]

So, we have the point:

[tex]B(-\frac{4}{3},0)[/tex]

Now, we plot the line using those points:

View image AzylaO729315