Question

Linear Models Help!!! I want help not answers!!!

Answer 1

Which equation models the line that passes through the points (2,5) (3,1)

Answer 2

can you guys help me with a question

Answer 3

O-o

Answer 4

please in order to find the equation joining two points we have to start from the generic line such line has the subsequent equation:
\[y=mx+q\]
where m and q are two coefficient that have to be determined.
Now I apply the condition that point (x_1,y_1) belongs to the line, namely point (2,5) belongs to the line.
So the coordinate x=2 and y=5 have to satisfy the equation above, namely:
5=m*2+q

Answer 5

Mhmm?

Answer 6

now I apply the condition that your second point (3,1) belongs to the line, so:
\[1=m*3+q\]
in other words now we got two equations that I reassume:
\[1=m*3+q,5=m*2+q\]
those equations are a system themselves, which we have to solve for q and m

Answer 7

I'm not following... <.<

Answer 8

I solve first equation for q, and I get:
\[q=1-3m\]
now, I insert that expression for q into the second equation:
\[5=2m+(1-3m)\]
or:
\[5=1-m\]
from which:
\[m=-4\]
and substituting such value of m into the expression for q, I get:
\[q=1-3*(-4)=1+12=13\]
so your equation is:
\[y=-4x+13\]