Question

A line that includes the points (- 3, - 10) and (- 4,v) has a slope of - 4. What is the value of v?

Answer 1

The value of v with given slop and points is - 6

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 =
`((y2 - y1))/((x2 - x1))`

Or, - 4 =
`((v + 10))/((- 4 + 3))`

Or, - 4 =
`((v + 10))/((- 1))`

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