Respuesta :

The linear equation that has a slope-angle of 150° and goes through (4,0) is given by:

y = -0.577x + 2.308.

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.

The line has a slope-angle of 150°, hence the slope is:

m = tan(150º) = -0.577.

Hence:

y = -0.577x + b.

It goes through (4,0), hence:

0 = -0.577 x 4 + b

b = 2.308.

Hence the equation is:

y = -0.577x + 2.308.

More can be learned about linear functions at https://brainly.com/question/24808124

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