Solve the system of equations by graphing.

-1/3x + y = –1
y = 4 + 1/3x

a. infinitely many solutions

b. no solution

c. no solution

d. infinitely many solutions

pictures represent a, b , c , d

The answer is A.

The way you know this is by graphing the first function.

The second function is in a different format, so you just have to isolate Y. 

-1/3x + y = -1
y= 1/3x -1  OR y= -1 + 1/3x

both of the functions have the same slope, but different y-intercepts. therefore, they'll never touch. making them infinite solutions.

it's also A because both of the slopes are positive, the slopes in graph D are negative.

So, the answer is A.

Hope this helps! xx