Questions: r(x) = 4/9 x points on the graph of this function, other than the origin, that fit within the given [-10,10] by [-10,10] grid. Express each fraction, or round to four decimal places as necessary.

$r(x) = 4/9 x points on the graph of this function, other than the origin, that fit within the given [-10,10] by [-10,10] grid. Express each fraction, or round to four decimal places as necessary.$

Transcript text: \[ r(x)=\frac{4}{9} x \] points on the graph of this function, other than the origin, that fit within the given $[-10,10]$ by $[-10,10]$ grid. Express each fraction, or round to four decimal places as necessary.

Solution

Solution Steps

Step 1: Find points that fit in the graph

We are looking for points other than the origin (0,0) that fit within the [-10, 10] by [-10, 10] grid. Let's test a few x-values in the given function $r(x) = \frac{4}{9}x$.

If x = 9, then $r(9) = \frac{4}{9} \cdot 9 = 4$. So, the point (9, 4) is on the graph.

If x = -9, then $r(-9) = \frac{4}{9} \cdot -9 = -4$. So, the point (-9, -4) is on the graph.