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The equation 2x - 4y - 8 models the relationship between x and y. What is the rate of change of y with respect tox?

User HaiTH
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1 Answer

4 votes

Answer:

1/2

Explanation:

Given the equation 2x-4y = 8 models the relationship between x and y

The rate of change of y with respect to x is known as the slope of the line.

The standard form of equation of a line is y = mx+c where;

m is the slope

c is the intercept

Rewrite the equation in its standard form as shown:

2x-4y = 8

-4y = -2x+8

-4y/-4 = -2x/-4 + 8/-4

y = 1/2 x -2

On comparison, the slope m is 1/2

Hence the rate of change of y with respect to x is 1/2

User Siphor
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