Question

I need help solving #2

Answer 1

Answer:
`\bold{(2)\ (5)/(2)}`

Explanation:

In order for the equations to have no points of intersection, they must be parallel lines. This means they have the same slope but different y-intercepts.

So, need an equation that has the same slope as (3, -7) and (9, 8). Use the slope formula:
`m=(y_2-y_1)/(x_2-x_1)`

`m=(8-(-7))/(9-3)=(15)/(6)=(5)/(2)`