Question

Hank draws a line with a zero slope through the points (-2,4) and (3.b).which value of b could represent hanks second point ?

Answer 1

Answer: The required value of b is 4.

Step-by-step explanation: Given that Hank draws a line with a zero slope through the points (-2,4) and (3, b).

We are to find the value of b that could represent Hank's second point.

We know that

the slope of a line passing through the points (p, q) and (r, s) is given by

`m=(s-q)/(r-p).`

Since the slope of the line passing through the points (-2, 4) and (3, b) is zero, so we must have

`0=(b-4)/(3-(-2))\\\\\\\Rightarrow 0=(b-4)/(5)\\\\\Rightarrow b-4=0\\\\\Rightarrow b=4.`

Thus, the required value of b is 4.

Answer 2

b = 4



A line with a slope of zero is a perfectly horizontal line, which means the y value (the second value) stays the same for every single point on the line.

So, if y equals 4 in the first point, then y still equals 4 in the second point, which means b is equal to 4.