Answer :
[tex]the \ slope \ intercept \ form \ is : \\ \\ y= mx +b\\\\y - x = 5 \\ \\y=x+5 \\ \\ m=1[/tex]
Using linear function concepts, it is found that the slope of a line parallel to the line whose equation is y - x = 5 is of 1.
What is a linear function?
A linear function is modeled by:
y = mx + b
In which:
- m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
- b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.
- When two lines are parallel, they have the same slope.
In this problem, we want a parallel line to y - x = 5. In slope-intercept format, the equation is:
y = x + 5.
The slope is of m = 1, hence the parallel line also has slope of 1.
More can be learned about linear function concepts at https://brainly.com/question/24808124
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