Answer :
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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