Answer:
29/6
Step-by-step explanation:
If 2 lines are parallel, it means that they have the same gradient
so we find the gradient of the second set of points
Gradient (m) = (y2-y1)/(x2-x1)
y1 =-1
y2 =11
x1 = -4
x2 = -5
=(11- -1)/(-5 - -4)
= 12/ (-5+4)
= 12/-1
= -12
For the first set of points
m =(y2-y1)/(x2-x1)
y1 = 7
y2 =-3
x1 =4
x2 =x
m = -12
Substitute the values into the equation as follows:
-12= (-3-7)/(x -4)
-12= -10/x-4
Make (x-4) subject of formula as follows
x-4 = -10/ -12
x -4 = 5/6
Make x subject of formula
x = 5/6 +4
x = 29/6
