Respuesta :
Answer:
The slope of the line passing through these points is 3.
Step-by-step explanation:
A first order function is given by the following formula:
[tex]y = ax + b[/tex]
In which a is the slope.
In this problem, we have that:
The line passes through the point (5,5). This means that when x = 5, y = 5. So
[tex]5a + b = 5[/tex]
[tex]b = 5 - 5a[/tex]
The line also passes through the point (6,8). This means that when x = 6, y = 8. So:
[tex]6a + b = 8[/tex]
[tex]b = 5 - 5a[/tex]
So
[tex]6a + 5 - 5a = 8[/tex]
[tex]a = 3[/tex]
The slope of the line passing through these points is 3.