Question

point-slope equation of the line through (6,4) and (7,2)

Answer 1

Answer:

y - 4 = -2(x - 6) or y - 2 = -2(x - 7)

Step-by-step explanation:

The point-slope form of an equation of a line:

$y-y_1=m(x-x_1)$

m - slope

The formula of a slope:

$m=\dfrac{y_2-y_1}{x_2-x_1}$

We have the points (6, 4) and (7, 2). Substitute:

$m=\dfrac{2-4}{7-6}=\dfrac{-2}{1}=-2$

Using the first point

$y-4=-2(x-6)$

Using the second point

$y-2=-2(x-7)$