Question

what is the equation for the line that passes through the points (-6,4) and (-2,9) answer in point slope form

Answer 1

y=1.25x+11.5

Explanation:

use the formula y^2 - y^1/x^2 - X^1

So, it would be 9-4/-2 - (-6).

=5/4

This equals to 1.25.

Use the formula y=mx+b to find the y intercept.

Take a point, (-2, 9) and substitute x and y.

y=mx+b

9=1.25(-2)+b

9=-2.5 +b

You do inverse operation and add 2.5 to each side of the equation.

9+2.5=11.5

Your final answer should be y=1.25x+11.5.

Answer 2

y-4=5/4(x+6)

Explanation:

`y-y_(1) =m(x-x_(1) )` is point slope form of equation of a line.

given points are :

(-6,4) and (2,-9) where

`x_(1) =-6 , y_(1) =4`

`x_(2) =-2,y_(2) =9`

We have to find slope by using above points.

m=
`y_(2) -y_(1) /x_(2) -x_(1)`

m= 9-4 / -2-(-6)

m= 5/-2+6

m=5/4

now, take point
`(x_(1) ,y_(1) )` and put the value of slope in point-slope form of equation:

y-4=5/4(x-(-6))

y-4=5/4(x+6) is point-slope form of equation for the line that passes through the points (-6,4) and (-2,9) .