Question

indicate in standard form the equation of the line passing through the given points, in the equation box below. X(0, 6), Y(5, 6)

Answer 1

0x + y = 6

Explanation:

Equation of the Line

The equation of a line passing through points (x1,y1) and (x2,y2) can be written as follows:

`\displaystyle y-y_1=(y_2-y_1)/(x_2-x_1)(x-x_1)`

It can be later converted to any other form of the line. For example, the standard form is:

`Ax + By = C`

Let's find the equation by using the given points (0,6) (5,6):

`\displaystyle y-6=(6-6)/(5-0)(x-0)`

Operating:

`\displaystyle y-6=(0)/(5-0)(x-0)`

y - 6 = 0

Or, equivalently:

0x + y = 6

This corresponds to a horizontal line