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)

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

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

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

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:

$m=\frac{{y}_{2}-{y}_{1}}{{x}_{2}-{x}_{1}}$

$m=\frac{0-5}{4-0}$

$m=-\frac{5}{4}$

Use the point-slope formula:

$m=-\frac{5}{4},{x}_{1}=0,{y}_{1}=5$

$y-{y}_{1}=m(x-{x}_{1})$

$y-5=-\frac{5}{4}(x-0)$

$y=-\frac{5}{4}x+5$ Equation of the line inslope-intercept form y=mx+b

$\frac{5}{4}x+y=5$

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)

${x}_{1}=0,{y}_{1}=\frac{1}{2},m=5$

Use the point-slope formula:

$y-{y}_{1}=m(x-{x}_{1})$

$y-\frac{1}{2}=5(x-0)$

$y=5x+\frac{1}{2}$ Equation of the line given inslope-intercept form y=mx+b

$-5x+y=\frac{1}{2}$

$5x-y=-\frac{1}{2}$ Equation of the line given instandard form: Ax+By=C

So, ${x}_{1}=0,{y}_{1}=5,{x}_{2}=4,{y}_{2}=0$

Use the definition of slope formula:

$m=\frac{{y}_{2}-{y}_{1}}{{x}_{2}-{x}_{1}}$

$m=\frac{0-5}{4-0}$

$m=-\frac{5}{4}$

Use the point-slope formula:

$m=-\frac{5}{4},{x}_{1}=0,{y}_{1}=5$

$y-{y}_{1}=m(x-{x}_{1})$

$y-5=-\frac{5}{4}(x-0)$

$y=-\frac{5}{4}x+5$ Equation of the line inslope-intercept form y=mx+b

$\frac{5}{4}x+y=5$

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)

${x}_{1}=0,{y}_{1}=\frac{1}{2},m=5$

Use the point-slope formula:

$y-{y}_{1}=m(x-{x}_{1})$

$y-\frac{1}{2}=5(x-0)$

$y=5x+\frac{1}{2}$ Equation of the line given inslope-intercept form y=mx+b

$-5x+y=\frac{1}{2}$

$5x-y=-\frac{1}{2}$ Equation of the line given instandard form: Ax+By=C

asked 2020-10-18

Find a least squares solution of Ax=b by constructing and solving the normal equations.

$A=\left[\begin{array}{cc}3& 1\\ 1& 1\\ 1& 4\end{array}\right],b\left[\begin{array}{c}1\\ 1\\ 1\end{array}\right]$

$\stackrel{\u2015}{x}=$ ?

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

$6,12,11,11.$

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

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.

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.