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
[tex]\frac{x}{a}+\frac{y}{b}=1\\\\ \frac{x}{2}+\frac{y}{-2}=1\\\\ x-y=2[/tex]
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)
