Answer:
The value of v with given slop and points is - 6
Step-by-step explanation:
Given as :
Let x and y be the points of a line
So, x = ( - 3 , - 10 ) And y = ( - 4 , v )
The given slop of line XY is - 4
Now, from slop equation :
Slop = [tex]\frac{(y2 - y1)}{(x2 - x1)}[/tex]
Or, - 4 = [tex]\frac{(v + 10)}{(- 4 + 3)}[/tex]
Or, - 4 = [tex]\frac{(v + 10)}{(- 1)}[/tex]
Or, v + 10 = ( -4 ) × (- 1 )
Or, v + 10 = 4
∴ v = 4 - 10 = - 6
Hence The value of v with given slop and points is - 6 Answer