Write the equation for the line that is perpendicular to given line that passes through the given point -3x-6y=17; (6,3)

Step-by-step explanation:

you have the line

clearing for y:

we have an equation of the form

the number that accompanies the x is the slope, and the number alone is the intercept with the y-axis

the slope m is:

i will call the slope of the new line

so for two perpendiculares lines we must have:

and from this we can find the new slope:

the new slope is 2,

so far we have that the new line is:

so now we have to find the intercept with the y axis () of the new line, since it passes trough (6,3) ---> x = 6 when y = 3

substituting these x and y values in :

and finally, the equation of the new line that is perpendicular to the original line is:

step-by-step explanation:

you can add the two numbers and divide the result by 2. or you can find the gap between the two numbers and add half of this to the smaller number.

you need to add a picture