Which equation describes a line with a slope of -8 and includes the point (-4, 7)?

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27-10-2017
Mathematics

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Which equation describes a line with a slope of -8 and includes the point (-4, 7)?

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JoshEast JoshEast · Answer 1 · 2017-10-27T09:50:16+02:00

Such an equation would be y + 8x = - 25 (standard form) OR y = -8x - 25 (y-intercept form)

Deriving The Answer:

By using the point-slope form of the equation of a line, by knowing the gradient of that line and a point on that line, the equation of this line can be derived.

Now, the point-slope form exists as y - y₁ = m ( x - x₁)

since slope = -8 and the point on the line = (-4 , 7)

Then m = - 8
x₁ = - 4
y₁ = 7
⇒ y - 7 = -8 ( x - (-4))

⇒ y - 7 = -8x - 32

⇒ y + 8x = - 25