Question

Please help.
These two points determine a line: (0,3) and (2,5). Which of these other points , (4,7) , (4,8) , (4,10) Are also on the line ?

Answer 1

do you know parametric equations ?

Answer 2

(4,7) lie on the line. the line equation is x-y+3=0.

Answer 3

Show work

Answer 4

woah, parametrics? slope=1, y-3=1(x-0) --> y=x+3, 7=?4+3 yes.

Answer 5

What ?

Answer 6

just get the equation of the line from the two points using the formula

(y-y1)=m(x-x10

tke any one of the point as (x1,y1)

m=(y1-y2)/(x1-x2)

find m

Answer 7

not really,
x = 2t
y = 3 + 2t , t is on real

Answer 8

rise = 5-3=2, run = 2-0=2, slope = 2/2=1,
point slope form: point (0,3) y-3=1(x-0) can be rearranged to y=x+3 then enter the three points to see if any of them make sense, and (4,7) does.

Answer 9

f(x) = x+3

(x,f(x))

(4,f(4))

(4,7)