Write Equation of a line that goes through (8,5) and is perpendicular to 2x-y=7 in slope intercept form and standard form

rancuri5a 2022-09-30 Answered
Write Equation of a line that goes through (8,5) and is perpendicular to 2x-y=7 in slope intercept form and standard form
You can still ask an expert for help

Expert Community at Your Service

  • Live experts 24/7
  • Questions are typically answered in as fast as 30 minutes
  • Personalized clear answers
Learn more

Solve your problem for the price of one coffee

  • Available 24/7
  • Math expert for every subject
  • Pay only if we can solve it
Ask Question

Answers (1)

tiepidolu
Answered 2022-10-01 Author has 8 answers
Converting 2x−y=7 into a slope-intercept form:
y=2x+7

The slope of 2x−y=7 is 2

So the slope of the requiblack line is - 1 2
(the slopes of perpendicular lines are the negative inverse of each other)

We are looking for a line with slope m = - 1 2 which passes through
( x 1 , y 1 ) = ( 8 , 5 )

In slope-point form this is
( y - 5 ) = ( - 1 2 ) ( x - 8 )

Converting to slope intercept form:
y = - 1 2 x + 9

and in standard form
x + 2 y = 18
Did you like this example?
Subscribe for all access

Expert Community at Your Service

  • Live experts 24/7
  • Questions are typically answered in as fast as 30 minutes
  • Personalized clear answers
Learn more

You might be interested in

asked 2021-06-01

Find the linear approximation of the function f(x)=4x at a=0
Use L(x) to approximate the numbers 3.9 and 3.99 Round to four decimal places

asked 2022-09-13
How do you write the equation in point slope form given (-7,-8), m=-3/7?
asked 2022-11-05
Find the slope of the line perpendicular to y = 5 2 x - 9
asked 2022-09-11
I need to find the point-slope form of the equation of the line passing through the points (4,2), (-4, -2)
asked 2022-06-03
I am having difficulty with true/false statements and their justifications regarding systems of linear equations.
(a) A linear system of three equations in five unknowns is always consistent (i.e. it has at least one solution)
(b) A linear system of five equations in three unknowns cannot be consistent
(c) If a linear system in echelon form is triangular then the system has the unique solution
(d) If a linear system of n equations in n unknowns has two equations that are multiples of one another, then the system is inconsistent.
So far, for (a) I have said False, as it will always be consistent if it is homogeneous, but not if it is non-homogeneous.
For (b) I have said false, but am having difficulty justifying this assertion
c) I know to be true.
(d) I believe may be false as having equations that are multiples could result in free variables and hence infinite solutions?
I am rather unsure on what I have done so far.
Any assistance is greatly appreciated.
asked 2022-10-05
Write an equation of the line parallel to y=2x - 5 and has the y intercept (0,9)
asked 2022-11-02
Write an equation of a line passing through (6, 1), perpendicular to 4y−2=3x