Question

Solve the following system of equations graphically on the set of axes below.

y=1/6x+5

y=-3/2x-5

Answer 1

Answer:

y=1/6x+5 -> plot points (-6,4),(0,5),(6,6)

y=-3/2 x -5 -> plot (-2,-2),(0,5),(2,-8)


Plot about 3 points for each line and connect them

Y=1/6 x +5
(Y=4)
4=1/6x+5
-1=1/6x
X=-6

(-6,4)

(Y=5)
5=1/6x+5
0=1/6x
x=0

(0,5)

Y=6
6=1/6x +5
1=1/6 x
X=6
(6,6)

Line y=1/6x+5 plot points (-6,4),(0,5),(6,6)


Y=-3/2 x -5
(Y=-8)
-8=-3/2 x -5
-3=-3/2 x
6=3x
x=2

(2,-8)

(Y=-2)
-2=-3/2 x -5
3= -3/2 x
-6=3x
x=-2

(-2,-2)

(Y=-5)
-5=-3/2 x -5
0=-3/2 x
x=0

(0,-5)

Line Y=-3/2 x -5 plot (-2,-2),(0,5),(2,-8)

Answer 2

(X,y)=(15/2,25/4) thanks for all the answers