Question

Find the equation of the linear function represented by the table below in slope intercept form. PLEASE HELP!

Answer 1

Answer:

y = - 2x - 5

Step-by-step explanation:

To get the equation of a straight line i.e. a linear function it will be sufficient to have two known points on the straight line.

Now, from the given table we see that (1,-7) and (2,-9) are two points on the straight line.

Therefore, the equation of the straight line will be  

$\frac{x - 2}{2 - 1} = \frac{y - (- 9)}{- 9 - (- 7)}$

⇒ - 2x + 4 = y + 9

⇒ 2x + y + 5 = 0

Therefore, in slope-intercept form we get,

y = - 2x - 5 (Answer)

{Because y = mx + c is the slope-intercept form of straight line equation}