Question

Look at the table of values below.

x y
1 -1
2 -3
3 -5
4 -7

Which equation is represented by the table?

A-y = 1 − 2x

B-y = -x − 1

C-y = x − 2

D-y = 2x − 1

Answer 1

maybe A not sure

Answer 2

first take 2 points and find your slope using the slope formula :
slope(m) = (y2 - y1) / (x2 - x1)
(1,-1)...x1 = 1 and y1 = -1
(2,-3)...x2 = 2 and y2 = -3
now we sub
slope(m) = (-3- (-1) / (2 - 1)
slope(m) = (-3 + 1) / 1
slope(m) = -2/1 or just -2

now use y = mx + b and either of your points
slope(m) = -2
(1,-1)..x = 1 and y = -1
and since we know the slope and we have our x and y points, we need to find the y intercept, the b position
now we sub
y = mx + b
-1 = -2(1) + b
-1 = -2 + b
-1 + 2 = b
1 = b

so your equation is : y = -2x + 1 or -y = 2x - 1

Answer 3

I agree that it's best to derive an equation of this straight line from the given data, and then to compare your own equation to those listed as possible answers.