Answer:
[tex]y = -1[/tex]
Step-by-step explanation:
Given
Points: (-5,0) and (-4, y)
Slope: [tex]m = -1[/tex]
Required
Find y
The slope (m) of a line is calculated using:
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
So, we have:
[tex]-1 = \frac{y - 0}{-4 - (-5)}[/tex]
[tex]-1 = \frac{y }{-4 +5}[/tex]
[tex]-1 = \frac{y }{1}[/tex]
[tex]-1= y[/tex]
[tex]y = -1[/tex]