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 ?

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.

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ColinJacobus ColinJacobus · Answer 2 · 2019-06-24T14:25:14+02:00

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

[tex]m=\dfrac{s-q}{r-p}.[/tex]

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

[tex]0=\dfrac{b-4}{3-(-2)}\\\\\\\Rightarrow 0=\dfrac{b-4}{5}\\\\\Rightarrow b-4=0\\\\\Rightarrow b=4.[/tex]

Thus, the required value of b is 4.