1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
eimsori [14]
3 years ago
14

Write the standard form of the line that passes through the given points. Include your work in your final answer. Type your answ

er in the box provided or use the upload option to submit your solution. (7, -3) and (4, -8)
Mathematics
1 answer:
Nata [24]3 years ago
4 0

Answer: 5x-3y=44

Step-by-step explanation:

We know that , the equation of a line that passes through (a,b) and (c,d) is given by :_

(y-b)=\dfrac{d-b}{c-a}(x-a)

Standard form of equation of line = Ax+By=C

Given points =  (7, -3) and (4, -8)

Then, the equation of a line that passes through the points . (7, -3) and (4, -8) is given by -

(y-(-3))=\dfrac{-8-(-3)}{4-7}(x-7)

(y+3)=\dfrac{-8+3}{-3}(x-7)   [∵ (-)(-)=(+)]

(y+3)=\dfrac{-5}{-3}(x-7)

(y+3)=\dfrac{5}{3}(x-7)

3(y+3)=5(x-7)

3y+9=5x-35

9+35=5x-3y

44=5x-3y

Or 5x-3y=44

Hence, the required equation :-5x-3y=44

You might be interested in
Raj gave his mother a bouquet of 12 pink and white roses. There were 4 pink roses in the bouquet. Which ratio
Studentka2010 [4]

Sorry I was wrong, I didn’t mean to get it wrong.

6 0
2 years ago
Read 2 more answers
PLEASE HELP!!! Find the equation , in the standard form of the line passing through the points (3,-4) and (5,1)
ExtremeBDS [4]
\bf \begin{array}{ccccccccc}
&&x_1&&y_1&&x_2&&y_2\\
%  (a,b)
&&(~ 3 &,& -4~) 
%  (c,d)
&&(~ 5 &,& 1~)
\end{array}
\\\\\\
% slope  = m
slope =  m\implies 
\cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{1-(-4)}{5-3}\implies \cfrac{1+4}{5-3}\implies \cfrac{5}{2}
\\\\\\
% point-slope intercept
\stackrel{\textit{point-slope form}}{y- y_1= m(x- x_1)}\implies y-(-4)=\cfrac{5}{2}(x-3)\implies y+4=\cfrac{5}{2}x-\cfrac{15}{2}

\bf y=\cfrac{5}{2}x-\cfrac{15}{2}-4\implies y=\cfrac{5}{2}x-\cfrac{23}{2}\impliedby 
\begin{array}{llll}
\textit{now let's multiply both}\\
\textit{sides by }\stackrel{LCD}{2}
\end{array}
\\\\\\
2(y)=2\left( \cfrac{5}{2}x-\cfrac{23}{2} \right)\implies 2y=5x-23\implies \stackrel{standard~form}{-5x+2y=-23}
\\\\\\
\textit{and if we multiply both sides by -1}\qquad 5x-2y=23

side note:  multiplying by the LCD of both sides is just to get rid of the denominators
5 0
3 years ago
Solve 732 H5 71z so what would x equal?
marin [14]
If the bases ar same, assume exponents are same

if
x^z=x^m
assume z=m

so
base is both 7 therefor
3x+5=1-x
solve
add x
4x+5=1
minus 5
4x=-4
divide 4
x=-1
7 0
3 years ago
70 of 38.20 is what<br><br> Have to write at least 20 words sooo
Nana76 [90]
26.74. I’m assuming you are asking what 70% of 38.20 is. 38.20 x 0.70 = 26.74
7 0
2 years ago
Q11.
Kamila [148]

Answer:

Step-by-step explanation:

The area of a trapezium is given as;

Area = \frac{1}{2}(a + b)h

where: a is the length of the upper side, b is the length of its base and h is its height.

This implies that; a = x - 4, b = x + 5, h = 2x and area = 351

Thus,

351 =  \frac{1}{2}((x - 4) + (x + 50)) 2x

      = (x - 4 + x + 5) x

531 = (2x + 1) x

      = 2x^{2} + x

So that;

2x^{2} + x - 531 = 0

This gives a quadratic equation.

5 0
3 years ago
Other questions:
  • If LN=54 and LM=31, find MN
    9·2 answers
  • Which of the following expressions could be used to find the area of the larger rectangle? 3(64 mm2) 9(64 mm2) 9(32 mm2) 3(576 m
    8·1 answer
  • What number completes this number
    8·1 answer
  • Question 19
    6·1 answer
  • 2x+y=7 NEED HELP WITH THIS EQUATION
    6·2 answers
  • Pls help its not for me but could you still help my brother?
    10·2 answers
  • Quadrilateral MNPQ is shown.
    6·1 answer
  • Eeeeeeeee eeeeeee e e e e e fr jsdf jdfrjae reeeee?
    6·2 answers
  • Select all the roots of the following equation.
    13·2 answers
  • Help<br><br><br><br><br><br> 4/10 as a decimal
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!