# Graph the function y=2/3x−1. I can't seem to remember how to do this. Can somebody refresh me plz?

Feb 21, 2018

See the explanation below!

#### Explanation:

Remember, two points are enough to draw a straight line in $x y - \setminus \textrm{p l a \ne}$.

So, just pick some radom value of $x$ and put it in the equation to get the corresponding value of $y$. Just record this order pair and find another one just like this.

Then locate and graph these two points on the graph paper to connect the two points by a ruler. That's it!


Put $x = 0$ in the equation and we will get:

$y = \frac{2}{3} \left(0\right) - 1$

Simplify:

$y = - 1$

The first point is $\left(0 \setminus , \setminus - 1\right)$

Now simply put $y = 0$ to get:

$0 = \frac{2 x}{3} - 1$

Solve for $x$ to get:

$x = \frac{3}{2}$ $\setminus \setminus \setminus$or $\setminus \setminus \setminus$ $x = 1.5$

The second point is $\left(\frac{3}{2} \setminus , \setminus 0\right)$

Just locate these two points on the graph and then connect them by a line to get: