Question

14. Which graph shows the solution to the following system?
1
-x-2
y -
4
7
y = -x + 4

Answer 1

Answer:

Option (B)

Step-by-step explanation:

Equations of the lines shown in the graph are,

$y=\frac{1}{4}x-2$ and $y=\frac{7}{4}x+4$

For equation (1),

$y=\frac{1}{4}x-2$

Slope of the line = $\frac{1}{4}$

And y-intercept of the line = -2

For equation (2),

$y=\frac{7}{4}x+4$

Slope of this line = $\frac{7}{4}$

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.