Question

Can someone help me find the point slope form of the equation
For a line that passes through (2,3) and (5,4)

Answer 1

No one usually helps me on here :( but please? Somebody?

Answer 2

I can help

Answer 3

Thanks that would be great :)

Answer 4

This is your slope formula:
\[\frac{ y _{2}-y _{1} }{ x _{2}-x _{1} }\]

When you input your points which are (2,3) and (5,4) [2 being x1, 3 being y1, 5 being x2 and y2 being 4] You will get a slope of: \[\frac{ 1 }{ 3 }\]

When finding point slope formula you use the formula:
\[y-y _{1}=m(x-x _{1})\]
m= slope
(You can use the y and x of any ordered pair but if u choose one the other one has to be from the same ordered pair. I am going to use the ordered pair (2,3))

My x1 in this ordered pair is 3 and my y1 is 2. My slope is 1/3
Since I have all my variables, I subsitute which gives me
\[y-3=\frac{ 1 }{ 3 }(x-2)\]

And I solve
My final answer is\[y=\frac{ 1 }{ 3 }x+\frac{ 7 }{ 3 }\]