Question

On your own paper, rewrite these equations in slope intercept form, y=mx+b
. Determine how many possible solutions there are for this systerm.

6x−3y=−6

9x−3y=−18

(1 point)
6x−3y=−6
in slope intercept form is y=

x+


9x−3y=−18
in slope intercept form is y=
x+

Question 2
How many possible solutions are there for this system of equations/(1 point)
Responses

One Solution
One Solution

No Solutions
No Solutions

Infinitely Many Solutions
Infinitely Many Solutions

Not enough information to answer

Answer 1

6x − 3y = −6 => y = 2x + 2

9x − 3y = −18 => y = 3x + 6

Since the slopes (2 and 3) are different, the lines intersect in exactly one point. Answer: One Solution. (Intersection point: x = −4, y = −6.)