Question

The system of linear equations represented in the graph is

Answer 1

y=3x+4
y=x-2
3x+4=x-2
2x=-6
x=-3
y=-5
(-3,-5)
The two equations are y=3x+4 and y=x-2; the lines intersect at (-3,-5)

Answer 2

Answer with explanation:

One of the line passes through (2,0) and (0,-2).

X intercept =2

And , Y intercept = -2

Equation of line in Intercept form will be

$\frac{x}{a}+\frac{y}{b}=1\\\\ \frac{x}{2}+\frac{y}{-2}=1\\\\ x-y=2$

Another line passes through ,(0,4) and (-3,-5).

Equation of line passing through two points , (a,b) and (p,q) is  

→(q-b)(x-a)=(p-a)(y-b)

→(-5-4)(x-0)=(-3-0)(y-4)

→-9 x=-3 y+12

→ -9 x + 3 y= 12

Dividing both sides by ,3 we get

- 3 x + y=4

Third option Represent the two lines in the graph.

1.y=x-2,

2.y=3 x+4

Using substitution method to solve the two equation,

→x-2 = 3 x + 4

→ x- 3 x= 4 + 2

→ - 2 x= 6

Dividing both sides by, 2 we get

x= -3

y= - 3 -2

y=-5

Solution set is , (-3,-5).

Option D: (-3,-5)