The table represents a linear equation. which equation shows how (–10, 8) can be used to write the equation of this line in point-slope form? urgent need y – 8 = –0.15(x – 10) y + 8 = –0.15(x – 10) y – 8 = –0.2(x + 10) y + 8 = –0.2(x – 10)

1) We need the table to calculate the slope

2)  The point-slope equation is of the form:

(y - y₁) = m (x - x₁), where m is the slope, and x₁ and y₁ are the coordinates of a point in the line.

We have the point (-10,8), so the coordinates are x₁ = -10 and y₁ = 8

3) That leads you to the equation (y - 8) = m (x - ( - 10) )

⇒ y - 8 = m (x + 10).

4) That discards the second and the fourth equations, and let you with these two feasible equations:

y - 8 = - 0.15 (x + 10), and

y - 8 = - 0.2 (x + 10)

5) To find the final equation, you must determine the slope from the table.

That is, take any two set of points and compute slope =  (y₂ - y₁) / (x₂ - x₁)

If the result, slope, is - 0.15 then the answer is y - 8 = - 0.15 (x + 10), else, if the result is - 0.2, then the answer is y - 8 = - 0.2 (x + 10)

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