Question

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

Answer 1

Answer:

They have the same slope

Step-by-step explanation:

Given

$y = -\frac{5}{2}x$

$y = -\frac{5}{2}x + 8$

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:

$m = -\frac{5}{2}$

For line 2:

$m = -\frac{5}{2}$

Compare the slopes of both lines, we have that:

$m = m = -\frac{5}{2}$

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