Question

Complete the point-slope equation of the line through (8,-8)(8,−8)left parenthesis, 8, comma, minus, 8, right parenthesis and (9,8)(9,8)left parenthesis, 9, comma, 8, right parenthesis.

Answer 1

Answer:

Point-slope equation of line is given by:

$y-8=16(x-9)$

Step-by-step explanation:

Given points:

$(8,-8)\ and\ (9,8)$

Point-slope equation of line is given by:

$y-y_1=m(x-x_1)$

Where $(x_1,y_1)$ is a point on the line and $m$ is slope of line.

Slope of line $m=\frac{y_2-y_1}{x_2-x_1}$

$m=\frac{8-(-8)}{9-8}$

$m=\frac{8+8}{1}$

$m=16$

Using point $(9,8)$ and slope $m=16$  point-slope equation of line is given by:

$y-8=16(x-9)$

Answer 2

Answer: Point slope equation using point (9 , 8) is given by :

y - 8 = 16 (x - 9)

Step-by-step explanation:

Given :

Points - A = (8 , -8) ; B = (9 , 8)

Calculation :

We know that point slope equation is :

$(y - y_1) = m(x - x_1)$

And slope is given by :

$m = \dfrac{y_2 - y_1}{x_2 - x_1}$

therefore, $m = 16$

So, point slope equation using point (9 , 8) is given by :

$y - 8 = 16 (x - 9)$

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