Question

The equation of the line that passes through the points (-2,0) and (0,2) can be expressed in the form y=mx+b. What is the value of m+b?

Answer 1

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Find Slope:
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$\text {Slope = } \dfrac{2 - 0}{0-(-2)}$

$\text {Slope = } 1$

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Substitute Slope = 1 into y = mx + b:
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y = x + b

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Find y-intercept:
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At point (0, 2),

2 = 0 + b
b = 2

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Substitute b = 2 into y = x + b:
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y = x + 2

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Expressed in the form of y = mx + b:
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y = x + 2

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Value of m + b :
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1 + 2 = 3

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Answer: The value of m+b is 3.
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