Question

14. Which graph shows the solution to the following system?

1
-x-2
y -
4
7
y = -x + 4

Answer 1

Option (B)

Explanation:

Equations of the lines shown in the graph are,

`y=(1)/(4)x-2` and
`y=(7)/(4)x+4`

For equation (1),

`y=(1)/(4)x-2`

Slope of the line =
`(1)/(4)`

And y-intercept of the line = -2

For equation (2),

`y=(7)/(4)x+4`

Slope of this line =
`(7)/(4)`

And y-intercept of the line = 4

From the given graphs in the options,

Graph (B) shows the lines which show the y-intercepts as y = 4 and y = -2

Therefore, Option (B) will be the answer.