Question

Which equation represents the line that passes through the points (-3, 7) and (9,-1)? oy--3x+5 o y=-x-7 o y=zx-7 oy - 12 2x+5​

Answer 1

The answer is

`y = - (2)/(3) x + 5`

Explanation:

Equation of a line is y = mx + c

where

m is the slope

c is the y intercept

To find the equation we must first find the slope of the line.

So the slope of the line using points (-3, 7) and (9,-1) is

`m = ( - 1 - 7)/(9 + 3) = - (8)/(12) = - (2)/(3)`

Now we use the formula

y - y1 = m(x - x1)

where

m is the slope

( x1 , y1) is any of the points given

So the equation of the line using point

( - 3 , 7) and slope - 2/3 is

`y - 7 = - (2)/(3) (x + 3) \\ y - 7 = - (2)/(3) x - 2 \\ y = - (2)/(3) x - 2 + 7`

We have the final answer as

`y = - (2)/(3) x + 5`

Hope this helps you