Question

How do you find the equation of a line when given two points?

Answer 1

first find the slope then plug one of the points into the point slope equation

Answer 2

\[y-y _{1}=m(x-x _{1})\]

Answer 3

y1 is the y part of the coordinate pair, x1 is the x part of the coordinate pair, and m is the slope

Answer 4

So if there was a problem such as Find the equation of the line passing through the points (-3,4) and (6,-2). How would you answer it?

Answer 5

first you'd do\[\frac{ -2-4 }{ 6-(-3) }\]

Answer 6

\[\frac{ -6 }{ 9 } = \frac{ -2 }{ 3 }\]

Answer 7

then you'd use the equation i gave you and plug 4 into y1, -3 into x1 and (-2/3) into m

Answer 8

\[y-4=-\frac{ 2 }{ 3 }(x-(-3))\]\[y-4=-\frac{ 2 }{ 3 }(x+3)\]

Answer 9

distribute the (-2/3) then get y by itself by adding

Answer 10

* adding 4

Answer 11

tell me what you get after you do that :)

Answer 12

Y= 2/3x+6

Answer 13

* -2/3x, but other than that perfect :)