What is the rate of change of the line that passes trough both points?How do i solve it?

Question

Answer 1

What is the rate of change of the line that passes trough both points?How do i solve it?

it says line, so equation of line look like: y=mx+b, where m is slope or rate of change.

given x=-7 and y=9

and x=-18 and y=9

plug these value, you get 9=m(-7)+b,

and 9=m(-18)+b,

since both equation is same, which is 9, you can set m(-7)+b=m(-18)+b,

both side has +b, so we can subtract b from both side, you get m(-7)=m(-18).

solve for m=0. meaning slope or rate of change is 0.~~~~~~~~~~~this is answer.

However, I want you to know further:

Now plug m=0 into y=mx+b

y=0x+b

y=b. what is this mean? y value no change, always b because slope is 0.

Think a little more: 9=b.

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Answer 2

m = (y₂ - y₁) / (x₂ - x₁)

x₁ = -7

y₁ = 9

x₂ = -18

y₂ = 9

Plug in the numbers.