IDNLearn.com connects you with a community of knowledgeable individuals ready to help. Get the information you need from our community of experts who provide accurate and comprehensive answers to all your questions.

What is the slope of a line parallel to the line whose equation is y - x = 5?
-1
1
5


Sagot :

[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

#SPJ2