SOLUTION: "The line is perpendicular to y=2x-4 and passes though (4,7)" Could you plese show me the formula on how to get the answer in y=mx+b form?

Question 366334: "The line is perpendicular to y=2x-4 and passes though (4,7)"
Could you plese show me the formula on how to get the answer in y=mx+b form?
Answer by Earlsdon(6294) (Show Source): You can put this solution on YOUR website!
I don't know that I can show you a "formula" but I can show you a procedure.
You want your answer to be an equation in the slope-intercept form:
of a line that is perpendicular to the line and which passes through the point (4, 7).
Let's start with the slope:
If two lines are perpendicular, their slopes are the negative reciprocal of each other.
The given line is: . Since this is in the slope-intercept form: you can see that the slope .
The negative reciprocal of 2 is .
So you can start with:
but now you need to find the value of b, the y-intercept.
So we substitute the x- and y-coordinate values of the given point (4, 7) into the equation above and solve for b.
Simplify this:
Add 2 to both sides.
Now that we have the value of b, we can write the final equation.

And just to show you what these look like when graphed:

RELATED QUESTIONS
Write an equation of the line containing the specified point and perpendicular to the... (answered by solver91311)

Could you please help me answer this question? Find the equation for the line that passes (answered by ankor@dixie-net.com,mananth)

Find the equation for the line that passes through the point (5, -3), and that is... (answered by Fombitz)

How do you write an equation of the line that passes through the point (4, 7) and is... (answered by jim_thompson5910)

I have 2 questions my first is...can u please show me step by step how to solve? 1.)The... (answered by josgarithmetic)

Write an equation of the line that passes through point P and is parallel to the given... (answered by ReadingBoosters)

Graph a line passes theough (0,3)and is perpendicular to the y - 2x... (answered by josgarithmetic)

Find an equation of the line containing the given pair of points. (1,4) and (3,5) I... (answered by Alan3354)

Hi, I was having problems with graphing and writing equations for graphs. The question... (answered by scott8148,gonzo)