Question

what is the equation of the line in point-slope form whose slope is -6 and which contains the point (0,6)

Answer 1

Answer:

(y-6)= -6(x-0)

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Answer 2

The required equation of the line is $6x+y-6=0$  

Step-by-step explanation:

Given that the slope is -6 and contains the point (0,6)

To find the equation of the line using the point-slope formula :

Let $(x_1,y_1)$ be the given point (0,6) and m=-6

The formula for the line using point-slope is $y-y_1=m(x-x_1)$

Substitute the values of the point and slope in the above equation we get

$y-6=(-6)(x-0)$

$y-6=-6(x)+(-6)(0)$

$y-6=-6x+0$

$y-6=-6x$

$y-6+6x=-6x+6x$

$y-6+6x=0$

Rewritting the above equation we have

$6x+y-6=0$ which is the required equation of the line.