Question

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

Answer 1

`\large\boxed{y=(4)/(3)x}`

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=(y)/(x)`

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

`m=(8)/(6)=(8:2)/(6:2)=(4)/(3)`

Finally:

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