Answer: [tex]\bold{(2)\ \dfrac{5}{2}}[/tex]
Step-by-step 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: [tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
[tex]m=\dfrac{8-(-7)}{9-3}=\dfrac{15}{6}=\dfrac{5}{2}[/tex]
