Question

Line 1 y= -5/2x
Line 2 y= -5/2x +8
Which statement about the graph of the line is true

Answer 1

They have the same slope

Explanation:

Given

`y = -(5)/(2)x`

`y = -(5)/(2)x + 8`

Required

Determine the true statement about both lines

An equation has a general format of:

`y = mx + b`

Where

`m = slope`

By comparing this to the equations of both lines, we have that:

For line 1:

`m = -(5)/(2)`

For line 2:

`m = -(5)/(2)`

Compare the slopes of both lines, we have that:

`m = m = -(5)/(2)`

Hence, we can conclude that both lines have the same slope