Question

What is an equation in point slope form of the line that passes through (-7,1) and(-3,9)

Answer 1

$Given \: A(x_{1} , y_{1} ) = ( -7 , 1 ) \: and \\ B(x_{2} , y_{2} ) = ( -3 , 9 )$

$i) Slope \: of \: a\: line\: passing \: through \\the\: points \: A\: and \: B \: is \: m = \frac{ y_{2} - y_{1}}{ x_{2} - x_{1}} \\= \frac{ 9 - 1}{ -3 - (-7)} \\= \frac{ 8}{ - 3 + 7 } \\= \frac{ 8}{ 4} \\= 2$

$Slope (m ) = 2$

$\underline{ \pink{Point \: slope \: form \: of \: a \: line : }}$

$\boxed{ \blue{ y - y_{1} = m( x - x_{1}) }}$

$\implies y - 1 = 2[ x - (-7)]$

$\implies y - 1 = 2( x + 7 )$

Therefore.

$\underline{ \pink{Point \: slope \: form \: of \: a \: line : }}$

$\green { y - 1 = 2( x + 7 )}$

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Answer 2

Step-by-step explanation:

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