Question

Complete the point-slope equation of the line through (3,6) and (5,-8)

Use exact numbers.
y-6=

Answer 1

Answer:

When two lines intersect, an angle is formed at their point of intersection. The different types of angles based on their measurements are: Acute Angle - An angle less than 90 degrees. Right Angle - An angle that is exactly 90 degrees.

Answer 2

Given :

• Two points :- (3,6) and (5,-8)

To find :

• point-slope equation of the line through (3,6) and (5,-8)

Formula used :

$\blue {\underline{\boxed{\bf \red { y - y _1 = (x - x _1)\bigg( \frac{y_2 - y _1}{x_2 - x _1} \bigg )}}}}$

Where :-

$\bigg( \bf\dfrac{y_2 - y _1}{x_2 - x _1} \bigg ) = slope \: of \: line$

Solution :

Two points are given as (3,6) and (5,-8).

$\implies \sf \: y - y _1 = (x - x _1)\bigg( \dfrac{y_2 - y _1}{x_2 - x _1} \bigg )$

$\implies \sf \: y - 6 = (x - 3)\bigg( \dfrac{ - 8- 6}{5 - 3} \bigg )$

$\implies \sf \: y - 6 = (x - 3)\bigg( \dfrac{ - 14}{2} \bigg )$

$\implies \sf \: y - 6 = (x - 3)( -7)$

$\implies \sf \: y - 6 = 21 - 7x$

$\implies \sf \: y + 7x= 21 + 6$

$\implies \sf \: y + 7x= 27$

Answer :

Point-slope equation of the line through (3,6) and (5,-8) = y+7x-27=0