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,
\(y=-\frac{1}{2}x - 3\)
For x-intercept,
y = 0,
\(\implies 0 =-\frac{1}{2}x - 3\)
\(3 =-\frac{1}{2}x\)
\(\implies x =-6\)
Thus, x-intercept is at (-6, 0)
For y-intercept,
x = 0,
\(\implies y =-\frac{1}{2}(0) - 3=-3\)
Thus, y-intercept is at (0, -3)
Now, join these two points to show the line in coordinate plane.
