Question

HELP!:
What is the equation of the line that passes through the points (2,1) and (4,5) in the Cartesian coordinate plane?

Answer 1

\[y-y_{1}=\frac{y_{2}-y_{1}}{x_{2}-x{1}}(x-x_{1})\]
x and y are variables of the equation of line, x1,x2,y1,y2 are given in question

Answer 2

general equation of a line in rectangular coordinate system is y=mx+c
m = slope
c= line intersects y axis that point

2,1 5,4

y2-y1/x2-x1 = 1-4/2-5 = -3/-3 = 1

y=x+c
m=1

1=2+c
c=-1

y=x-1

ans

Answer 3

A.



y = 23 x − 43











B.



y = 23 x − 13











C.



y = 23 x + 73











D.



y = 23 x + 4