In the xy -plane above, point c has coordinates (6,9). which of the following is an equation of the line that contains points o and c?

The simplest equation that can contain two points is a linear equation,

Here we will find that the line equation is

A general linear equation is:

Such that a is the slope, and b is the y-intercept.

If we know that the line passes through the points (x₁, y₁) and (x₂, y₂), the slope can be written as:

Here we know that our equation must pass through point C, (6, 9) and through point O, the origin, or just (0, 0)

Then the slope of our equation will be:

Then our equation is something like:

To find the value of b, we can use the fact that the line contains the origin (0, 0)

This means that when x = 0, we also have y = 0.

Replacing that in the above equation we get:

Then the equation of the line is:

If you want to learn more, you can read:

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The equation of line that passes through O(0,0) and C(6,9)

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Step-by-step explanation:

Given

In xy- plane above , the coordinates of point C =(6,9)

The coordinates of point of O=(0,0)

We know that the equation of line that passes through two points

By substituting the value of in the above formula

The equation of line that passes through the points (0,0) and (6,9) is given by

The equation of line that passes through the points O (0,0) and (6,9) is given by

The equation of line is given by

Hence, the required equation of line that passes through the points O (0,0) and C(6,9)

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step-by-step explanation: