A line through the points (4,7) and (x,-3) is parallel to a line through the points (-4,-1) and (-5,11) find the value of x

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

1 x=22.52

2: 65/39=604+39x

65x-39x=604

26x=604

x=604/26

×=23.23