Question

Write a rule for the linear function in the table.


x
f(x)
1
–7
2
–10
3
–13
4
–16
a.
f(x) =879-09-03-00-00-wri_files/i0060000.jpgx – 4
c.
f(x) = –3x – 4
b.
f(x) = 3x + 4
d.
f(x) = x – 7

Answer 1

ithoughtwhatisandisyouforandison

Answer 2

Answer:

The correct option is c.

Step-by-step explanation:

If a line passing through two points, then the equation of line is

$y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)$

From the given table it is noticed that (1,-7) and (2,-10).

The equation of line is

$y-(-7)=\frac{-10-(-7)}{2-1}(x-1)$

$y+7=\frac{-3}{1}(x-1)$

$y+7=-3x+3$

Subtract both sides by 7.

$y=-3x+3-7$

$y=-3x-4$

Therefore option c is correct.