Question 313966
y=-1/4x+7 (red line)
and passes through the ordered pair (0,15).
THIS LINE HAS A SLOPE=-1/4.
THE PARALLEL LINE WILL ALSO HAVE A SLOPE=-1/4
15=-1/4*0+b
15=b the Y intercept of the parallel line.
Y=-x/4+15 (green line)is the equation for the parallel line passing through (0,15).
{{{ graph( 300, 200, -6, 15, -10, 20, -x/4 +7, -x/4 +15) }}} (graph 300x200 pixels, x from -6 to 15, y from -10 to 20, of TWO functions -x/4 +7 and -x/4 +15).