Answer
a) Please see the graph. Red line: $y=2x+5$
Blue line: $y=-x+11$
b) $(2,9)$
Work Step by Step
a)
The line $y=2x+5$ has a slope of 2.
Let $x=0$:
$y=2x+5$
$y=2*0+5$
$y=0+5$
$y=5$
Let $x=1$
$y=2x+5$
$y=2*1+5$
$y=2+5$
$y=7$
$(0,5)$ and $(1,7)$ are on the line.
The line $y=-x+11$ has a slope of -1.
Let $x=0$
$y=-x+11$
$y=-1*0+11$
$y=0+11$
$y=11$
Let $x=1$
$y=-x+11$
$y=-1*1+11$
$y=-1+11$
$y=10$
$(0,11)$ and $(1,10)$ are on the line.
b)
$2x+5=-x+11$
$3x+5=11$
$3x=6$
$3x/3=6/3$
$x=2$
$2x+5 = y$
$2*2+5=y$
$4+5=y$
$y=9$
