Question 160012
y=mx+b.
(-5,9);8x=5y+7
5Y=8X-7
Y=8X/5-7/5 (RED LINE)THIS LINE HAS A SLOPE(m)=8/5.
THE LINE THROUGH (-5,9) & PARALLEL TO THIS LINE ALSO HAS A SLOPE=8/5. tHUS:
9=8/5*-5+b
9=8*-5/5+b
9=-40/5+b
9=-8=b
b=9+8
b=17
THUS THE LINE EQUATION FOR THIS LINE IS:
Y=8X/5+17 (GREEN LINE).
{{{ graph( 300, 300, -10, 20, -10, 20, 8x/5 -7/5 , 8x/5 +17) }}} (graph 300x300 pixels, x from -10 to 20, y from -10 to 20, of TWO functions 8x/5 -7/5 and 8x/5 +17).