Question

write an equation of the line in point slope form that passes through the given points, (2, 3) and (3,6)

Answer 1

We need to use the point-to-point equation of the line after finding the point-slope form of the line:

We need to identify the corresponding coordinates:

x1 = 2

y1 = 3

x2 = 3

y2 = 6

Then, we have:

`y-y_1=(y_2-y_1)/(x_2-x_1)(x-x_1)`

Thus

`y-3=(6-3)/(3-2)(x-2)\Rightarrow y-3=(3)/(1)(x-2)\Rightarrow y-3=3(x-2)`

Then, the line in the point-slope form that passes through the given points (2, 3) and (3,6)​ is

`y-3=3(x-2)`