Write an equation in point-slope form for the line through the given point with the given slope.

The required equation for the given point and the given slope is

Step-by-step explanation:

Given:

Let,

point A( x₁ , y₁) ≡ ( 8 ,-3)

To Find:

Equation of Line Passing through A( x₁ , y₁) with slope = -1/4

Solution:

Equation of a line passing through a points A( x₁ , y₁) and having slope m is given by the formula,

i.e equation in point - slope form

Now on substituting the slope and point A( x₁ , y₁) ≡ ( 8 ,-3) we get

The required equation for the given point and the given slope is

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step-by-step explanation: