Question

Y= -1/2x-3 Plot the x- and y-intercepts to graph the equation.

Answer 1

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.

Answer 2

To graph by intercepts:
Plug zero in for x and solve for y.
Plug zero in for y and solve for x.
y = (-1/2)(0) -3
y = -3
(0,-3)

0= (-1/2)x -3
3= (-1/2)x
-6 = x
(-6,0)