How do you graph the line $\frac{x}{y} = 6$ $x/y = 6$ ?

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Answer 1 · 2017-06-28T14:42:15

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Let's multiply both sides of the equation by $y$ $y$ .

$x = 6 y$ $x=6y$

Now, let's solve for $y$ $y$ by dividing both sides of the equation by $6$ $6$ .

$y = \frac{x}{6}$ $y=x/6$

To graph the line you can choose a few values for $x$ $x$ and compute $y$ $y$ and then plot the ordered pairs.

Another way is to find the x-intercept, set $y = 0$ $y=0$ , and the y-intercept, set $x = 0$ $x=0$ .

If we do this, you can see that the y-intercept is:

$y = \frac{0}{6} = 0$ $y=0/6=0$

$(0, 0)$ $(0,0)$ which is the origin.

The x-intercept is:

$0 = \frac{x}{6}$ $0=x/6$

$(0, 0)$ $(0,0)$ the origin once again, which shouldn't be surprising.

The graph looks like:

graph{x/y=6 [-10, 10, -5, 5]}

How do you graph the line xy=6x/y = 6?