Question

Find the equation of the joining the point 2 3 and -2 5​

Answer 1

Answer:
`y=-(1)/(2) x+4`

Explanation:

The given points are (2,3) and (-2,5). To find the equation, we should first find slope. To find slope, we use this formula
`y=(y_2-y_1)/(x_2-x_1)`.

`y=(5-3)/(-2-2) =(2)/(-4)=-(1)/(2)`

Now that we have the slope, we can plug in one of the points to find the y-intercept.

`3=-(1)/(2) (2)+b` [multiply]

`3=-1+b` [add both sides by 1]

`b=4`

Now we know the equation is
`y=-(1)/(2) x+4`.