Question

Given (10,4) and (2,8)

Answer 1

(10,4)(2,8)
slope = (8 - 4) / (2 - 10) = 4 / -8 = -1/2

y= mx + b
slope(m) = -1/2
(2,8)....x = 2 and y = 8
now we sub and find b, the y int
8 = -1/2(2) + b
8 = -1 + b
8 + 1 = b
9 = b

slope intercept form is : y = -1/2x + 9 <====

1/2x + y = 9...multiply everything by 2
x + 2y = 18 <== standard form

point slope : y - y1 = m(x - x1)...there can be 2 answers for this...
(1) using (10,4).......y - 4 = -1/2(x - 10)
(2) using (2,8)....y - 8 = -1/2(x - 2)