Answer:
See Attached Graph and Explanation Below
Step-by-step explanation:
A line can be plotted on the x-y coordinate system if we have at least two points.
Given function [tex]f(x) = -\dfrac{2}{3}x - 3[/tex]
The slope is - 2/3 and the y-intercept = -3
Choose 2 convenient values of x which result in integers for f(x). If we choose an x that is a multiple of 3 then we get an integer value for f(x)
Let's choose x = 3 for the first point and plug this value into the equation
[tex]\rightarrow f(3) = -\dfrac{2}{3} (3) - 3\\\\\rightarrow f(3) = -2 -3 = -5[/tex]
- 5 is the value of y for x = 3
One point is (3, -5)
Choose x = 0
[tex]\rightarrow f(0) = -\dfrac{2}{3} (0) - 3\\\\\rightarrow f(0) = 0 - 3 = -3[/tex]
So another point is (0, -3)
Plot these points and draw a line
