Answer:
Slope, m = 6
Step-by-step explanation:
We find the equation of the line.
Let the equation of the line be y = ax + b
We substitute the points on the line to determine the equation the line.
The points are: (0, -1) and (1, 5).
[tex]$ \implies -1 = a(0) + b $[/tex]
[tex]$ \implies b = -1 $[/tex]
[tex]$ \implies y = ax - 1 $[/tex]
Now, we substitute (1, 5).
[tex]$ \impllies 5 = a(1) - 1 $[/tex]
[tex]$ \implies a = 6 $[/tex]
Therefore, the equation of the line becomes y = 6x + 1.
This is comparable to the general equation of the line: y = mx + c, where m is the slope of the line.
Comparing the equations, we see that the slope of the line is m = 6.
