Question

Write in point-slope from an equation of the line through the pair of points (3,2) and (8,11) what is an equation of the line in point slope form ? And show work

Answer 1

Given the points (3,2) and (8,11)

We will write the point-slope form equation for the line passes through the given points

The slope of the line will be:

$slope=\frac{rise}{run}=\frac{y_2-y_1}{x_2-x_1}=\frac{11-2}{8-3}=\frac{9}{5}$

The point-slope equation will be:

$y-2=\frac{9}{5}(x-3)$

We can use the second point to write the equation:

$y-11=\frac{9}{5}(x-8)$