Question

Obtener la ecuación de la recta que pasa por el punto (6-8) y tiene como pendiente m=-2

Answer 1

The equation of the line is y = -2x+ 4.

To obtain the equation of a line in English that passes through the point (6, -8) and has a slope of m = -2, you can use the point-slope form of the equation of a line:

`\[ y - y_1 = m(x - x_1) \]`

where:

-
`\( (x_1, y_1) \)` is the given point (6, -8),

- m is the slope (-2).

Substitute the values into the formula:

`\[ y - (-8) = -2(x - 6) \]`

Simplify the equation:

`\[ y + 8 = -2x + 12 \]`

Now, isolate y on one side of the equation:

`\[ y = -2x + 12 - 8 \]`

Combine constants:

`\[ y = -2x + 4 \]`

So, the equation of the line is
`\( y = -2x + 4 \)`.