SOLUTION: Ok, I am lost.I now have parallel to the lines. I need to find an equation of the line that is parallel to the line y=7x-3 and passes thru the point (8,7). I thought the answer wa

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Question 173853: Ok, I am lost.I now have parallel to the lines. I need to find an equation of the line that is parallel to the line y=7x-3 and passes thru the point (8,7). I thought the answer was v-7 h-3 but am not positive.? Ty in advance. Judy
Found 5 solutions by solver91311, jojo14344, stanbon, monika_p, Fombitz:
Answer by solver91311(24713)   (Show Source):
You can put this solution on YOUR website!
Rule 1: Parallel lines have equal slopes.

Your given equation is in slope-intercept form , so you can tell by inspection that the slope of the given line is 7.

Next you need to use the point-slope form of the line to find the desired equation. The equation of a line with slope passing through point (,) is , so just substitute the values you know, namely the slope, and the coordinates of the given point: (,) = (,).

You should rearrange by solving for y to put your equation for the desired line into slope-intercept form to match the given equation. I'll leave that as an exercise for the student.

Answer by jojo14344(1513)   (Show Source):
You can put this solution on YOUR website!
I need to find an equation of the line that is parallel to the line y=7x-3 and passes thru the point (8,7).
.

okay, of line is . Since the line are parallel, .
Therefore, thru point (8,7), we can get the y-intercept via Slope-intercept Form:

----->, y-intercept.
Then, line eqn is----->, or Standard Form
We see the graph:
-------> RED, Line ; GREEN, Line
Thank you,
Jojo

Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website!
find an equation of the line that is parallel to the line y=7x-3 and passes thru the point (8,7).
------------------
If parallel to y = 7x-3, the slope is 7
---------------------
Form: y = mx + b
7 = 7*8 + b
7 = 56 + b
b = -49
---------
Equation:
y = 7x - 49
=============
Cheers,
Stan H.

Answer by monika_p(71)   (Show Source):
You can put this solution on YOUR website!
If the lines are parallel it means that they have same slope.
The basic form of line y=mx+b m is a slope, then y=7x-3 slope m =7
Using "point-slope" form of the line y-y1=m(x-x1) you can find equation of the line passing through the point (x1,y1)----(8,7)
y-7=7(x-8)
y=7x-49-----answer

Answer by Fombitz(32388)   (Show Source):
You can put this solution on YOUR website!
Parallel lines have identical slopes.
The slope of your new line is identical to the old line,

Use the point-slope form of the line,

where and ,

.
.
.
Here are both lines graphed, along with point (8,7), as visual proof of the solution.