t h e s l o p e in t erce pt f or m i s : y = m x + b y − x = 5 y = x + 5 m = 1
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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The slope of the line given by the equation y − x = 5 is 1. Since parallel lines have the same slope, the slope of any line parallel to it is also 1. Therefore, the correct answer is B. 1.
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