X intercept is where the line crosses the x axis or where y=0
y intercept is where the line crosses the y axis or where x=0
so
6x-3y=-6
x intercept
y=0
6x-3(0)=-6
6x=-6
x=-1
x intercept at x=-1 or the point (-1,0)
y intercept
x=0
6(0)-3y=-6
-3y=-6
y=2
y intercept at y=2 or the point (0,2)
You can tell based off the translation of graphs.
Vertical:
y=f(x) + k : graph shifts k units up
y=f(x) - k : graph shifts k units down
Horizontal:
y=f(x - k) : graph shifts k units right
y= f(x+k) : graph shifts k units left
Answer: D) y= 14/17x - 4/17
