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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.

User Detilium
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1 Answer

4 votes

Answer:

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


y-6 = -7(x-3)

Explanation:

Given points are:

(x1,y1) = (3,6)

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

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


y-y_1 = m(x-x_1)

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

The slope is calculated using the formula:


m = (y_2-y_1)/(x_2-x_1)

Putting the values we get


m = (-8-6)/(5-3)\\m=(-14)/(2)\\m= -7

Putting in the equation


y-y_1 = -7(x-x_1)

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


y-6 = -7(x-3)

Hence,

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


y-6 = -7(x-3)

User Kstromeiraos
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