Question

What is the equation in point-slope form of the line passing through (1, 2) and (2, 5)?

Answer 1

Well first find the slope, using the following formula: \[m = \frac{ y_{2}-y _{1} }{ x _{2}-x _{1} }\] where your coordinates represent \[(x_1,y_1)~~\text{and}~~(x_2,y_2)\]
Once you manage to get that, plug in m and your first coordinates in the point - slope form: \[y-y _{1}=m(x-x _{1})\]

Answer 2

ok jus a sec

Answer 3

so do i leave y blank n just plug in y1?

Answer 4

@iambatman

Answer 5

Yup :)

Answer 6

would y1 be the numerator of the slope

Answer 7

i mean midpoint?

Answer 8

@iambatman

Answer 9

\[(1,2) \implies (x_1,y_1)\]

Answer 10

You can use (x_2,y_2) as well if you wanted to instead it doesn't matter