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Vlad [161]
3 years ago
14

Write the standard form of the equation of a line if the point on the line nearest to the origin is at (6, 8).

Mathematics
1 answer:
Alchen [17]3 years ago
4 0

Answer:

\large\boxed{y=\dfrac{4}{3}x}

Step-by-step explanation:

The line passes through the origin has an equation y = mx

m - slope

The formula of a slope of a line passes through the origin

and a point (x, y):

m=\dfrac{y}{x}

We have the point (6, 8). Substitute:

m=\dfrac{8}{6}=\dfrac{8:2}{6:2}=\dfrac{4}{3}

Finally:

y=\dfrac{4}{3}x

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