Question

Find five ordered pairs to the equation y= - 2/3x + 1. Then determine its graph.

Answer 1

The ordered pairs of the equation are $(-2,\frac{7}{3})$, $(-1,\frac{5}{3} )$, $(0,1)$,$(1,\frac{1}{3})$ and $(2,-\frac{1}{3} )$

Explanation:

The given equation is $y=-\frac{2}{3} x+1$

We need to find the five ordered pairs to the equation and also to determine its graph.

First, we shall find the ordered pairs by substituting the values for x in the equation.

For $x=-2$, we have,

$y=-\frac{2}{3} (-2)+1$

$y=\frac{4}{3}+1$

$y=\frac{7}{3}$

Thus, the ordered pair is $(-2,\frac{7}{3})$

For $x=-1$,

$y=-\frac{2}{3} (-1)+1$

  $=\frac{2}{3} +1$

  $=\frac{5}{3}$

Thus, the ordered pair is $(-1,\frac{5}{3} )$

For $x=0$ ,

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

  $=1$

Thus, the ordered pair is $(0,1)$

For $x=1$ ,

$y=-\frac{2}{3} (1)+1$

  $=-\frac{2}{3} +1$

  $=\frac{1}{3}$

Thus, the ordered pair is $(1,\frac{1}{3})$

For $x=2$ ,

$y=-\frac{2}{3} (2)+1$

  $=-\frac{4}{3} +1$

  $=-\frac{1}{3}$

Thus, the ordered pair is $(2,-\frac{1}{3} )$

Hence, the ordered pairs are $(-2,\frac{7}{3})$, $(-1,\frac{5}{3} )$, $(0,1)$,$(1,\frac{1}{3})$ and $(2,-\frac{1}{3} )$

The graph of the equation can be determined by plotting these coordinates in the graph.

The image of the graph of the equation is attached below: