Question

Match the graph with the correct equation

Answer 1

Answer:

y + 2 = -(x-4)

Step-by-step 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