Answer:
-17
Step-by-step explanation:
8x -2y= 12
Divide the whole equation by 2:
4x -y= 6
Rewrite the equation into the slope-intercept form (y=mx+c, where m is the gradient while c is the y-intercept).
-y= -4x +6
y= 4x -6
Thus, gradient of given line= 4.
Since parallel lines have the same gradient, gradient of line= 4.
y= 4x +c
To find the y-intercept of the lone, substitute a pair of coordinates.
When x=5, y=3,
3= 4(5) +c
3= 20 +c
c= 3 -20
c= -17
Thus, the y-intercept of the line is -17.
