Answer:
-4/19
Explanation:
Here, we will use point-slop equation of the line to find the value of k
m = (y2 - y1)/(x2 - x1)
we can find the value of m using the points on the second line containing (5, -8) and (2,4)
m = (4 - (-8))/(2 - 5) = 12/(-3) = -4 -------------(i)
we will convert the first line equation into sloper intercept form
y = mx + c
0 = 19y - kx
19y = kx
y = kx/19
y = (k/19)*x
Here the m = k/19 and c = 0
Because the lines are parallel so their slop m would must be same.
Inserting the value of m of second line from the line (i)
-4 = k/19
k = -4/19
