~I will mark as BRANLIEST and give you 55 points if you answer correctly.

(4,-2)

Step-by-step explanation:

The equation for the graphed line is as it has a slope of and a y-intercept of -4.

Now that we have the two equations, we can set them equal to each other to find the x-value at which they intersect

First, we can add 4 to each side

Then we can add x to each side

Now we need to divide both side by , which is the same thing as multiplying by

Now that we have the x-value, we can plug it into one of the equations to see the y-value for where they intersect.

This means that the coordinates for the intersection of these two lines would be

You can find the perimeter by finding the distance between all three points and then adding the sums together.

From (-1, 4) to (2, 7)
d=√(x₂-x₁)²+(y₂-y₁)²
d=√(2-(-1)²+(7-4)²
d=√(3)²+(3)²
d=√9+9
d=√81
d=9

From (2, 7) to (1, 5)
d=√(x₂-x₁)²+(y₂-y₁)²
d=√(1-2)²+(5-7)²
d=√(-1)²+(-2)²
d=√1+4
d=√5
d=2.24

From (1, 5) to (-1, 4)
d=√(x₂-x₁)²+(y₂-y₁)²
d=√(-1-1)²+(4-5)²
d=√(-2)²+(-1)²
d=√4+1
d=√5
d=2.24

2.24+2.24+9
=13.48

The perimeter of the triangle is 13.48.