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15 points-Lindsay used two points, and , to find the equation of the line, y = mx + b, that passes through the points. First, she used the definition of slope and determined that the value of m is . Given this information, which expression must represent the value of b?

15 pointsLindsay used two points and to find the equation of the line y mx b that passes through the points First she used the definition of slope and determine class=

Respuesta :

Its the first one "A"
Because y-y1=m(x-x1)
Hope it helps! 
opps btw I rated my self a one star don't mind that lol

Answer:

Option A.

Step-by-step explanation:

Lindsay used two points (x1, y1) and (x2, y2) to find the equation of a line y = mx + b, that passes through the points.

First she used the definition of slope and determined the value as

[tex]m=\frac{(y_{2}-y_{1})}{(x_{2}-x_{1})}[/tex]

Now the equation of line becomes

[tex]y=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}x + b[/tex]

Since this line passes through a point (x1, y1) then the equation of the line will be

[tex]y_{1}=(\frac{y_{2}-y_{1}}{x_{2}-x_{1}})x_{1}+b[/tex]

[tex]b=y_{1}-(\frac{y_{2}-y_{1}}{x_{2}-x_{1}})x_{1}[/tex]

Therefore option A. will be the correct option.