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:

$y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)$

Thus

$y-3=\frac{6-3}{3-2}(x-2)\Rightarrow y-3=\frac{3}{1}(x-2)\Rightarrow y-3=3(x-2)$

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

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