Question

PLEASE HELP!!! Choose the best graph that represents the linear equation:

6x = y + 8
Graph A
On a coordinate plane, a line goes through (negative 2, 4) and (0, negative 8).
Graph B
On a coordinate plane, a line goes through (0, negative 8) and (2, 4).
Graph C
On a coordinate plane, a line goes through (negative 2, negative 4) and (0, 8).
Graph D
On a coordinate plane, a line goes through (0, 8) and (2, negative 4).
a.
Graph A
c.
Graph C
b.
Graph B
d.
Graph D



Please select the best answer from the choices provided


A
B
C
D

Answer 1

b.

Graph B

Explanation:

We are given the following linear equation:

`6x = y + 8`

When x = 0:

`6(0) = y + 8`

`y = -8`

Thus, the line goes through (0,-8).

When y = 4:

`6x = y + 8`

`6x = 4 + 8`

`6x = 12`

`x = (12)/(6) = 2`

So also through (2,4).

Thus means that the correct answer is given by Graph B.