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Answer:
• General equation of a line:
[tex]{ \tt{y = mx + b}} \\ [/tex]
[tex]{ \tt{ - 7 = ( \frac{2}{5} \times - 4) + b }} \\ \\ { \tt{ - 7 = - \frac{8}{5} + b}} \\ \\ { \tt{b = - \frac{27}{5} }}[/tex]
• Therefore, equation of line is:
[tex]{ \tt{y = \frac{2}{5}x - \frac{27}{5} }} \\ [/tex]
Answer:
y + 7 = [tex]\frac{2}{5}[/tex] ( x + 4 )
Step-by-step explanation:
( [tex]x_{1}[/tex] , [tex]y_{1}[/tex] )
y - [tex]y_{1}[/tex] = [tex]\frac{2}{5}[/tex] ( x - [tex]x_{1}[/tex] )
~~~~~~~~~~~~~~
( - 4 , - 7 )
y - ( - 7 ) = [tex]\frac{2}{5}[/tex] ( x - ( - 4 ))
y + 7 = [tex]\frac{2}{5}[/tex] ( x + 4 )