Question

Find the equation of the line that passes through points A and B
A (1,7)
B (-3,-1)

Answer 1

Thanks for your question...

Your required answer :

Point A )

• ( 1 , 7 )
• Therefore x = 1 and y = 7

• 7x - y = 0 is the equation let's check :

Put value of x and y :

• 7 ( 1 ) - ( 7 ) = 0
• 7 - 7 = 0
• 0 = 0

That means our equation is correct

Point B )

• ( -3 , - 1 )
• Therefore x = -3 and y = -1

• x - 3y = 0 is the equation let's check :

Put value of x and y :

• ( -3 ) - 3( -1 ) = 0
• -3 + 3 = 0
• 0 = 0

That means our equation is correct

Answer 2

$x_{1}, y_{1} \: \: and \: x_{2}, y_{2}$

$m = \frac{ y_{2} - \: y_{1} }{ x_{2} - x_{1} }$

$A \: (1,7) \: and \: \: B(-3,-1)$

$= \frac{ - 1 - 7}{ - 3 - 1}$

$= \frac{ - 8}{ - 4}$

$= 2$