L1 is the line passing through (-2,14) and (6,10) l2 is the line passing through (-1,-4) and (2,5) find the coordinates of the point where 2 lines intersect

since you already know how to get the slopes and equation, let's do the equations of each of these two without much fuss.

then we'll have two equations, namely a system of equations of two variables, and we'll solve it by substitution.

first equation is

second equation is

now, let's recall, let's substitute "y" in the second equation,

step-by-step explanation:

given that ab is divided into equal parts as

ac, cd, de, ef, fg, gh, hi, ib.

from this we find that f is the midpoint of ab.

so using mid point formula we find

f = (3,7)

similarly considering fb, we get

h = mid point of fb = ((6,6) and g, mid point of fh is

g = (9/2, 13/2)

i is mid point of hb

so i =(15/2,11/2)

27/4x^6 y^8

step-by-step explanation:

4(3x^2y^4)^3 (2x^3y^5)^4

=

108x^6 y^12 /16x^12 y^20

=

108 /16x^6 y^8

=

27 /4x^6 y^8