Question 272050
Y=mX+b is the line equation where m=slope & b= the Y intercept.
The line through (-4, -7) & parallel to 6x + y + 8 
y=-6x+8 this line has a slope=-6
The parallel line will also have a slope=-6:
-7=-6*-4+b 
-7=24+b
b=-7-24
b=-31 the y intercept.
Y=-6X-31 is this lines equation.
{{{ graph( 300, 200, -6, 5, -35, 10, -6x -31) }}} (graph 300x200 pixels, x from -6 to 5, y from -35 to 10, -6x -31).