The equation of the linear graph that passes through (2, -2) and (-2, -7)

y = x -

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m =

with (x₁, y₁ ) = (2, - 2) and (x₂, y₂ ) = (- 2, - 7)

m = = = , thus

y = x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation

Using (2, - 2) , then

- 2 = + c ⇒ c = - 2 - = -

y = x - ← equation of line

options a,b,c are the right answer.

step-by-step explanation:

a linear parent function is always represented as y = x

if we write this function in the form of y=mx+c

⇒

or  

now if we plot a graph we will find these characteristics:

1) y intercept of the graph is zero so its a straight line passing through origin.

2) as we can see in both the forms of function written, values of x and y may be either positive or negative for the positive slope means points on the graph are either in first quadrant or in third one.

3) it's slope is one.

b, i believe, but not sure.