Question

Match the linear function equations in a standard format to the left to their appropriate graphs.x-y=-2

Answer 1

Given the equation:

`\text{ x - y = -2}`

To be able to select which graph represents the equation, we will complete the coordinates of points at two conditions - when x = 0 and y = 0.

Once we get the set of coordinates, let's determine among the graphs which correctly reflects the two points.

Let's start,

First Point: At x = 0,

x - y = -2

0 - y = -2

-y/-1 = -2/-1

y = 2

(0,2)

Second Point: At y = 0,

x - y = -2

x - 0 = -2

x = -2

(-2,0)

We now got the coordinates of the two points that pass through the line graph of the equation. (0,2) and (-2,0)

Among the given graphs, naming A, B, C, D, E, F respectively from the upper left to the lower right, graph F reflects the correct coordinates of the two points we got.

Therefore, Graph F is the appropriate graph of the equation x - y = -2.