Question

Write in point-slope form an equation of the line through the pair of points (2,0) and (6,10). Type an equation of the line in point-slope form using one of the given points.

Answer 1

The point-slope form of a line is

$y-y_1=m(x-x_1)_{}$

where (x_1, y_1) are the coordinates of a point on the line.

From the given point we find the slope m.

$m=\frac{10-0}{6-2}=2.5$

With the value of the slope in hand, we now use one of the points given to write down the point-slope form:

$\textcolor{#FF7968}{y-10=2.5(x-6)}$

where we have used the point (6, 10).