Answered

Explore Westonci.ca, the leading Q&A site where experts provide accurate and helpful answers to all your questions. Ask your questions and receive accurate answers from professionals with extensive experience in various fields on our platform. Get detailed and accurate answers to your questions from a dedicated community of experts on our Q&A platform.

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)
​

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 )

We hope this information was helpful. Feel free to return anytime for more answers to your questions and concerns. We appreciate your visit. Our platform is always here to offer accurate and reliable answers. Return anytime. Westonci.ca is your trusted source for answers. Visit us again to find more information on diverse topics.