Answer:
(-10, 0) and (0,-5)
Step-by-step explanation:
For the function [tex]f(x)=-\dfrac{1}{2}x-5,[/tex] find x-intercept and y-intercept:
1. when y=0, then
[tex]0=-\dfrac{1}{2}x-5,\\ \\\dfrac{1}{2}x=-5,\\ \\x=-10;[/tex]
2. when x=0, then
[tex]y=-\dfrac{1}{2}\cdot 0-5,\\ \\y=-5.[/tex]
You get two points (-10, 0) and (0,-5). Plot them on the coordinate plane and connect, obtained line is the graph of the linear function [tex]f(x)=-\dfrac{1}{2}x-5.[/tex]
