Question

Hank draws a line with a zero slope through the points (–2, 4) and (3,

b. Which value of b could represent Hank’s second point?

Answer 1

4
(-2,4)(3,4)

4-4. / 3- -2=. 0/5=0

Answer 2

Given are the two points A(-2,4) and B(3,b).

He wants to draw a line with slope equal to zero.

We know the slope formula for two points is given as follows :-

`Slope = (y_(2)- y_(1) )/(x_(2) -x_(1)  ) \\\\ Slope \;of A(-2,4) \;and \;B(3,b) \\\\ Slope \;AB = (b-4)/(3-(-2)) \\\\ Slope \;AB = (b-4)/(3+2)) \\\\ Slope \;AB = (b-4)/(5) \\\\ given \;slope \;of \;AB = 0 \\\\ 0 = (b-4)/(5) \\\\ 0 = b-4 \\\\ b = 4`

Hence, b=4 is the final answer.