Questions: Consider the following function. t(x)=-5/8 x Find two points on the graph of this function, other than the origin, that fit within the given [-10,10] by [-10,10] grid. Express each coordinate as an integer or simplified fraction, or round to four decimal places as necessary.

$Consider the following function. t(x)=-5/8 x Find two points on the graph of this function, other than the origin, that fit within the given [-10,10] by [-10,10] grid. Express each coordinate as an integer or simplified fraction, or round to four decimal places as necessary.$

Transcript text: Consider the following function. \[ t(x)=-\frac{5}{8} x \] Step 2 of 2 : Find two points on the graph of this function, other than the origin, that fit within the given $[-10,10]$ by $[-10,10]$ grid. Express each coordinate as an integer or simplified fraction, or round to four decimal places as necessary.

Solution

Solution Steps

Step 1: Identify Points on the Graph

To find points on the graph of the function $ t(x) = -\frac{5}{8} x $, we selected two x-values within the range $[-10, 10]$: $ x = -8 $ and $ x = 8 $.

Step 2: Calculate Corresponding y-values

Using the function $ t(x) $, we calculate the corresponding y-values for the selected x-values:

For $ x = -8 $: \[ t(-8) = -\frac{5}{8} \cdot (-8) = 5.0 \] Thus, the point is $ (-8, 5.0) $.
For $ x = 8 $: \[ t(8) = -\frac{5}{8} \cdot 8 = -5.0 \] Thus, the point is $ (8, -5.0) $.