Question

1. Which graph represents the linear function given by the table?

2. Which equation represents the linear function given by the table?
A. y = −x + 3
B. y = x + 3
C.y = −x − 3
D.y = x − 3

Answer 1

Answer:

Part 1) The graph in the attached figure

Part 2) Option D. y = x − 3

Step-by-step explanation:

Part 1) Which graph represents the linear function given by the table?

we know that

Looking the table

The linear equation has a positive slope ( is a increasing function) because as the value of x increases the value of y increases

The intercepts given by the table are the points

(0,-3) and (3,0)

therefore

The graph in the attached figure

Part 2)  Which equation represents the linear function given by the table?

Find the slope

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

take the points

(0,-3) and (3,0)

substitute

$m=\frac{0+3}{3-0}$

$m=1$

Find the equation of the line in slope intercept form

$y=mx+b$

we have

$m=1\\b=-3$

The linear equation is

$y=x-3$