Question

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?

Answer 1

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 2

Option A.

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

`m=((y_(2)-y_(1)))/((x_(2)-x_(1)))`

Now the equation of line becomes

`y=(y_(2)-y_(1))/(x_(2)-x_(1))x + b`

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

`y_(1)=((y_(2)-y_(1))/(x_(2)-x_(1)))x_(1)+b`

`b=y_(1)-((y_(2)-y_(1))/(x_(2)-x_(1)))x_(1)`

Therefore option A. will be the correct option.