Write an equation of the line containing the given point and parallel to the given line. Express your answer in the form y=mx+b. (7,9): x+3y=7

The equation of the parallel line is:

Step-by-step explanation:

First express the given line in slope-intercept form:

Since we want a line parallel to this, the new line must have the same slope (-1/3). We add to that the condition of the line going through the point (7, 9):

Therefore,the equation of the parallel line is:

let's cover over the formula of the vertex:

y = a(x – h)^2 + k

in this formula, (h,k) are the vertex, always remember that the positive or negative value of the vertex is based on the sign it has.

for example, if the vertex is -3,-6 then both the x and y value would have the positive sign attached to it and if it were a positive x and y value, then a negative sign would be attached to it.

with that being said, for our problem the x value is a positive one so we are looking for a number with a negative sign next to it, in this case the first and second choice.

however, for the first answer choice it isn't quite part of the formula so we know that the answer choice correctly displays the x value.

to confirm, we can see if the -1 fits correctly with the second answer choice, and as mentioned above a negative number will have a positive sign attached to it. so, for our problem we can see that -1 has been changed to +1, so we can confirm that the second answer choice is correct.

hence, our final answer is y=(x - 1)^2 + 1

fjfjfhdhdhdhjjdjdjdjdjjd thats the answers

step-by-step explanation: