Write an equation of the line containing the given point and parallel to the given...

Damien Horton

Damien Horton

Answered

2022-07-26

Write an equation of the line containing the given point and parallel to the given line.
(2,5);x+4y=5

Answer & Explanation

Reinfarktq6

Reinfarktq6

Expert

2022-07-27Added 18 answers

Given the equation: x+4y=5
4y= -x+5
y=(-1/4)x+(5/4)
Since the equation is parallel to the given line the slope(m)=-1/4
Given the point (2, 5) where x 1 = 2 , y 1 = 5.
Use the point-slope formula:
y y 1 = m ( x x 1 )
y-5=(-1/4)[x-2]
y=(-1/4)x+(1/2)+5
y = 1 4 x + 11 2 ... Equation of the line
Matilda Fox

Matilda Fox

Expert

2022-07-28Added 3 answers

the line: x+4y = 5 can be written as:
y = -(1/4)x + 5/4
the slop of the line is -1/4
for a line to be parallel with this line, its slop must be thesame as -1/4
the new line is y=mx+b = -(1/4)x + b
since it contains (2,5)
we have:
5=-(1/4)2 +b
b=5.5
y=-(1/4) x + 5.5 is the equation of the line

Do you have a similar question?

Recalculate according to your conditions!

Ask your question.
Get your answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?