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What is an equation of the line that passes through the points (4,-2) and (8,3)?

User Fima
by
8.7k points

1 Answer

5 votes

Answer:

Equation: Y = 5/4x -7

Explanation:

y2 - y1

------------- <------------- This is your slope equation

x2 - x1

-----------------------------------------------------------------------------------------------------------------

3 - (-2)

----------

8 - 4

----------------------------------------------------------------------------------------------------------------

3 + 2

----------

8 - 4

-----------------------------------------------------------------------------------------------------------

5

------- <-------------------------- This is your slope

4

--------------------------------------------------------------------------------------------------------

Y = mx+b <------------------ Your second equation

-----------------------------------------------------------------------------------------------------------------

3 = 5/4 (8) + b <---------- Your new equation

-----------------------------------------------------------------------------------------------------------------

3 = 10 + b <---------- You times 5 by 10 and then divide it by 4

-----------------------------------------------------------------------------------------------------------------

- b + 3 = 10 <------------- Subtract b

--------------------------------------------------------------------------------------------------------------

- b = 7 <------------------------ Subtract 3

---------------------------------------------------------------------------------------------------------------

b = -7 <-------------- switch the negative sign

---------------------------------------------------------------------------------------------------------------

Your equation will be:

Y = 5/4 -7

-----------------------------------------------------------------------------------------------------------------

Hope that helps! :)

User Jeannicolas
by
7.2k points

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