Find the equation of a line l in each case and write it instandard form with integral coefficients. a) line l has y-intercept (0,5) and x- intercept (4,0) b) line l has slope 5 and goes through (0,1/2)

Graham Beasley 2022-07-27 Answered
Find the equation of a line l in each case and write it instandard form with integral coefficients.
a) line l has y-intercept (0,5) and x- intercept (4,0)
b) line l has slope 5 and goes through (0,1/2)
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 (2)

Reese King
Answered 2022-07-28 Author has 13 answers
a) The equation for a line is y = mx + b
where m is the slope and b is the y intercept.
Therefore, the slope is rise over run, which is -5/4 and the yintercept is 5
y = -5x/4 + 5
b) slope is 5 and y intercept is 1/2
y = 5x + 1/2
Not exactly what you’re looking for?
Ask My Question
Ruby Briggs
Answered 2022-07-29 Author has 3 answers
(A) Line 1 has a y-intercept (0, 5) and x-intercept (4,0)
So, x 1 = 0 , y 1 = 5 , x 2 = 4 , y 2 = 0
Use the definition of slope formula:
m = y 2 y 1 x 2 x 1
m = 0 5 4 0
m = 5 4
Use the point-slope formula:
m = 5 4 , x 1 = 0 , y 1 = 5
y y 1 = m ( x x 1 )
y 5 = 5 4 ( x 0 )
y = 5 4 x + 5 Equation of the line inslope-intercept form y=mx+b
5 4 x + y = 5
Multiply through the equation by 4.
5x+4=20 Equation of the line instandard form: Ax+By=C
(B) Line 1 has a slope of 5 and goes through (0, 1/2)
x 1 = 0 , y 1 = 1 2 , m = 5
Use the point-slope formula:
y y 1 = m ( x x 1 )
y 1 2 = 5 ( x 0 )
y = 5 x + 1 2 Equation of the line given inslope-intercept form y=mx+b
5 x + y = 1 2
5 x y = 1 2 Equation of the line given instandard form: Ax+By=C
Not exactly what you’re looking for?
Ask My Question

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 2020-10-18
Find a least squares solution of Ax=b by constructing and solving the normal equations.
A=[311114],b[111]
x=?
asked 2021-05-13

A movie stuntman (mass 80.0kg) stands on a window ledge 5.0 mabove the floor. Grabbing a rope attached to a chandelier, heswings down to grapple with the movie's villian (mass 70.0 kg), whois standing directly under the chandelier.(assume that thestuntman's center of mass moves downward 5.0 m. He releasesthe rope just as he reaches the villian).
a) with what speed do the entwined foes start to slide acrossthe floor?
b) if the coefficient of kinetic friction of their bodies withthe floor is 0.250, how far do they slide?

asked 2021-12-06
In a typical lightning strike, 2.5 C flows from cloud to ground in 0.20 ms.What is the current during the strike?
asked 2022-08-09
Using the following set of data, find the sample standard deviation:
6 , 12 , 11 , 11.
Select answer below
8.7
5.7
6.7
2.7
1.7
asked 2022-09-03
In 2016, 84.0% of households with televisions subscribed to cable, an increase of 7.8% over 2000. What percentage of households with televisions subscribed to cable in 2000?
asked 2021-09-24
Decide whether the equation is an identity, a conditional equation, or a contradiction. give the solution set.
12(x-2)=2(6x+1)-26
asked 2021-06-02
Use the given conditions to write an equation for the line in point-slope form and in slope-intercept form.
Passing through (3,-1) and perpendicular to the line whose equation is x-9y-5=0
Write an equation for the line in point-slope form and slope-intercept form.