Answer:
Graph is attached below
Step-by-step explanation:
Intercepts are values of x and y at which the graph of the function intersects coordinate axis.
Given equation,
[tex]y=-\frac{1}{2}x - 3[/tex]
For x-intercept,
y = 0,
[tex]\implies 0 =-\frac{1}{2}x - 3[/tex]
[tex]3 =-\frac{1}{2}x[/tex]
[tex]\implies x =-6[/tex]
Thus, x-intercept is at (-6, 0)
For y-intercept,
x = 0,
[tex]\implies y =-\frac{1}{2}(0) - 3=-3[/tex]
Thus, y-intercept is at (0, -3)
Now, join these two points to show the line in coordinate plane.
