Question

A line passes through the two points: (1, 10) and (6,5).

a. Calculate the slope of the line passing through the points.
b. Using your answer from part (a), can you now calculate the equation of the line which
passes through the two points in slope intercept form.

Answer 1

(a). - 1 ; (b). y = - x + 11

Explanation:

(1, 10)

(6, 5)

(a). m =
`(y_(2) -y_(1) )/(x_(2) -x_(1) )` =
`(5-10)/(6-1)` = - 1

(b). y - 5 = - 1(x - 6)

y = - x + 11