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The slope of diagonal OA IS__,
and its equation is__

The slope of diagonal OA IS__, and its equation is__-example-1
User Esteam
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1 Answer

4 votes

Answer:


(a)\ m = (4)/(3) --- slope of OA


(b)\ y = (4)/(3)x --- the equation

Explanation:

Given

The attached graph

Solving (a): Slope of OA

First, we identify two points on OA


(x_1,y_1) = (0,0)


(x_2,y_2) = (3,4)

So, the slope (m) is:


m = (y_2 -y_1)/(x_2 - x_1)

This gives:


m = (4-0)/(3-0)


m = (4)/(3)

Solving (b): The equation

This is calculated as:


y = m(x - x_1) + y_1

Recall that:


(x_1,y_1) = (0,0)


m = (4)/(3)

So, we have:


y = (4)/(3)(x - 0) + 0


y = (4)/(3)(x)


y = (4)/(3)x

User Nitish Katare
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