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Which equation shows how (–10, 8) can be used to write the equation of this line in point-slope form?

y – 8 = –0.15(x – 10)
y + 8 = –0.15(x – 10)
y – 8 = –0.2(x + 10)
y + 8 = –0.2(x – 10)

Respuesta :

we know that

the equation of the line into point-slope form

is equal to

[tex]y-y1=m(x-x1)[/tex]

in this problem we have the point

[tex](x1,y1)=(-10,8)[/tex]

substitute in the formula

[tex]y-(8)=m(x-(-10))[/tex]

[tex]y-8=m(x+10)[/tex]

therefore

the answer is

[tex]y-8=-0.2(x+10)[/tex]

The equation in point-slope form is y - 8 = -0.2(x + 10)

How to determine the equation?

The missing part of the question is:

Slope (m) = -0.2

The point is given as:

(x1, y1) = (-10, 8)

The equation is then calculated as:

y - y1= m(x - x1)

This gives

y - 8 = -0.2(x + 10)

Hence, the equation in point-slope form is y - 8 = -0.2(x + 10)

Read more about linear equations at:

brainly.com/question/14323743

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