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What are m and b in the linear equation 10 + 4x + 3 + 2x = y?

User Ivan Wang
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1 Answer

10 votes

Answer:

m = 6

b = 13

Explanation:

The general structure of an equation in slope-intercept form is:

y = mx + b

In this equation, "m" represents the slope and "b" represents the y-intercept. To determine these variables, you need to rearrange/simplify the given equation.

10 + 4x + 3 + 2x = y <---- Original equation

10 + 3 + 4x + 2x = y <---- Rearrange

13 + 4x + 2x = y <---- Combine 10 and 3

13 + 6x = y <---- Combine 4x and 2x

y = 6x + 13 <---- Rearrange

As you can now see, the number in the "m" position is (6) and the number in the "b" position is (13).

User Daniel Wagner
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