Question

Sylvie finds the solution to the system of equations by graphing.

y=2/3x+1 and y=-2/3x-1

which graph shows the solution to sylvie’s system of equations?

a) graph 1
b) graph 2
c) graph 3
d) graph 4

Answer 1

c) graph 3
Point 3,3 satisfies y=2/3x+1

Answer 2

solution is (-1.5,0)

Graph 3

Explanation:

`y=(2)/(3)x+1`and
`y=-(2)/(3)x-1`

In the first equation
`y=(2)/(3)x+1`

slope = 2/3 and y intercept is 1

Lets start with graphing y intercept +1

then we slope , move 2 units up and 3 units to the right. stop at (3,3)

Now we graph the second equation

`y=-(2)/(3)x-1`

slope = -2/3 and y intercept is -1

Lets start with graphing y intercept -1

then we slope , move 2 units down and 3 units to the right. stop at (3,-3)

both graph intersects at a point (-1.5,0)