Question

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

Answer 1

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)

Answer 2

Graph is attached below

Explanation:

Intercepts are values of x and y at which the graph of the function intersects coordinate axis.

Given equation,

`y=-(1)/(2)x - 3`

For x-intercept,

y = 0,

`\implies 0 =-(1)/(2)x - 3`

`3 =-(1)/(2)x`

`\implies x =-6`

Thus, x-intercept is at (-6, 0)

For y-intercept,

x = 0,

`\implies y =-(1)/(2)(0) - 3=-3`

Thus, y-intercept is at (0, -3)

Now, join these two points to show the line in coordinate plane.