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

Answer:

0x + y = 6

Step-by-step explanation:

Equation of the Line

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

$\displaystyle y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)$

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):

$\displaystyle y-6=\frac{6-6}{5-0}(x-0)$

Operating:

$\displaystyle y-6=\frac{0}{5-0}(x-0)$

y - 6 = 0

Or, equivalently:

0x + y = 6

This corresponds to a horizontal line