Question

Pina has two equations that she found to be valuable models for her research. She thinks that if she can find the solution of the two graphs, she will be able to identify a key point to her studies. What can Pina expect in terms of solutions of these two graphs?

-3x + y = 10
y = 3x − 6

parallel lines

infinite solutions

both parallel lines and no solution

no solution

Answer 1

Answer is parallel lines
Reason - same slope (3x) and different y intercept means they will be parallel lines because their slope is the same but they will cross the y axis at different points.

I changed the first equation to y intercept form
y = 3x - 10 to match the other equation
y = 3x - 6