Answer:
They have the same slope
Step-by-step explanation:
Given
[tex]y = -\frac{5}{2}x[/tex]
[tex]y = -\frac{5}{2}x + 8[/tex]
Required
Determine the true statement about both lines
An equation has a general format of:
[tex]y = mx + b[/tex]
Where
[tex]m = slope[/tex]
By comparing this to the equations of both lines, we have that:
For line 1:
[tex]m = -\frac{5}{2}[/tex]
For line 2:
[tex]m = -\frac{5}{2}[/tex]
Compare the slopes of both lines, we have that:
[tex]m = m = -\frac{5}{2}[/tex]
Hence, we can conclude that both lines have the same slope
