Answer:
y + 2 = -(x-4)
Explanation:
Here, we want to match the graph with the correct equation
the equation is generally in the form
y = mx + c since it is a straight line
Let’s start with c which is the y- intercept
c = 2 from the graph
Let’s find value of the slope using the end points
The end points at top and at bottom are as follows respectively;
(-8,10) and (10,-8)
So the slope is ; y2-y1/x2-x1 and that is ;
-8-10/(10-(-8) = -18/18 = -1
So the complete form of the line would be;
y = -1(x) + 2
y = -x + 2
or simply y = 2-x
So which of the options fit this answer?
That would be;
y+ 2 = -(x-4)
This can be written as;
y + 2 = -x + 4
y = -x + 4-2
y = -x + 2