What is the equation in point-slope form of a line that passes through the points (3, −5) and (−8, 4)?
a. y−4=−1/5(x+8)
b. y+4=−9/11(x−8)
c. y−4=−9/11(x+8)
d. y+4=−1/5(x−8)

C.

Step-by-step explanation:

The point slope form is   where m is the slope,

First we are going to calculate :

If you have two points:

In this case: A=(-8,4) and B=(3,-5)

Replacing in the formula:

Then ,

Now we have to replace with: ,

Then the equation in point-slope form of a line that passes through the points (3, −5) and (−8, 4) is:

C.

step-by-step explanation:

given that there are two triangles j'k'l' and jkl>

the former is got by dilating the second one.

when drawn on a grid, (graph paper) coordinates of vertices of first triangle is

(6,12)j, (9,6)k and (12,9)l

side jk has length = distance between j and k

=

side j'k'=distance between j' and k'

=

ie j'k'l' has sides 1/3 of that of corresponding sides of jkl.

hence scale factor of 1/3 is used to get j'k'l'from jkl