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what is the point-slope form of the line with slope 2/5 that passes through the point (-4, -7) ?

A) y - 4 = 2/5 (x - 7)
B) y - 7 = 2/5 (x - 4)
C) y + 4 = 2/5 (x + 7)
D) y + 4 = 2/5 (x + 4)
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Sagot :

Answer:

• General equation of a line:

[tex]{ \tt{y = mx + b}} \\ [/tex]

  • m is the slope, m = 2/5
  • b is y-intercept

[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]

xenia168

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 )

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