What is the solution set of |–x| = –10?

{10}

{–10}
{–10, 10}
no solution

no solution

Step-by-step explanation:

Modular equation:

The modular of a function f(x)(|f(x)|) is the distance of f(x) to the origin.

In the case of a point, the modulus of the point is the distance to the origin.

If we have:

|f(x)| = a, it means that:

f(x) = a or f(x) = -a.

However

It is only true for non-negative values of a, since the modulus is a distance, which is a positive measure.

|–x| = –10

The modular is never a negative number, so it cannot be -10.

This means that there is no solution.

step-by-step explanation:

let

we know that

the y-intercept is the y-coordinate of the point when the value of x is equal to zero

so

the y-coordinate of the point a is the y-intercept

the answer part a) is

the value of y-intercept is

part b) find the slope m

we know that

the value of the slope is equal to

substitute the values

therefore

the answer part b) is

the value of the slope is equal to

the general answer is

the slope is

the value of y-intercept is