2. a line goes through the points (8, 9) and (-2, 4). (a) what is the slope of the line? show your work (b) write the equation of the line in point-slope form. show your work (c) write the equation of the line in slope-intercept form. show your work.

(a)

   Slope = m=y2-y1/x2-x1

   m = 4-9/-2-8

   m = -5/-10

   m = 1/2

(b)

   y - y1 = m(x- x1)

   y-9=1(x-8)

   y=1x-8+9

   y=1x+1

   1x-y+1=0

(c)

   y = 1/2x + b

   9 = 1/2 * 8 + b : b=5

   y = 1/2x + 5

b. 24 mm

step-by-step explanation:

use the pythagorean theorem.

a^2 + b^2 = c^2

a^2 + 7^2 = 25^2

a^2 + 49 = 625

a^2 = 576

a = 24

answer: b. 24 mm

linear

step-by-step explanation: