Complete the point-slope equation of the line through (3,6)(3,6)left parenthesis, 3, comma, 6, right parenthesis and (5,-8)(5,−8)left parenthesis, 5, comma, minus, 8, right parenthesis.

The required equation of line in point-slope form is:

Step-by-step explanation:

Given points are:

(x1,y1) = (3,6)

(x2,y2) = (5,-8)

The point-slope form of an equation is given by:

Here m is slope of the line and (x1,y1) is a point on line

The slope is calculated using the formula:

Putting the values we get

Putting in the equation

Now we have to put a point in the equation, putting (3,6) in the equation

Hence,

The required equation of line in point-slope form is:

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step-by-step explanation: