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
pantera1 [17]
2 years ago
5

Ndicate the equation of the line through (2, -4) and having slope of 3/5.

Mathematics
2 answers:
lord [1]2 years ago
7 0

\bf (\stackrel{x_1}{2}~,~\stackrel{y_1}{-4})~\hspace{10em} slope = m\implies \cfrac{3}{5} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-(-4)=\cfrac{3}{5}(x-2) \implies y+4=\cfrac{3}{5}x-\cfrac{6}{5} \\\\\\ y=\cfrac{3}{5}x-\cfrac{6}{5}-4\implies \implies y=\cfrac{3}{5}x-\cfrac{26}{5}

shusha [124]2 years ago
3 0

Answer:

Point-slope form: y+4=\frac{3}{5}(x-2)

Slope-intercept form: y=\frac{3}{5}x-\frac{26}{5}

Standard form: 3x-5y=26

Step-by-step explanation:

The easiest form to use here if you know it is point-slope form.  I say this because you are given a point and the slope of the equation.

The point-slope form is y-y_1=m(x-x_1).

Plug in your information.

Again you are given (x_1,y_1)=(2,-4) and m=\frac{3}{5}.

y-y1=m(x-x_1) with the line before this one gives us:

y-(-4)=\frac{3}{5}(x-2)

y+4=\frac{3}{5}(x-2) This is point-slope form.

We can rearrange it for different form.

Another form is the slope-intercept form which is y=mx+b where m is the slope and b is the y-intercept.

So to put y+4=\frac{3}{5}(x-2) into y=mx+b we will need to distribute and isolate y.

I will first distribute. 3/5(x-2)=3/4 x -6/5.

So now we have y+4=\frac{3}{5}x-\frac{6}{5}

Subtract 4 on both sides:

y=\frac{3}{5}x-\frac{6}{5}-4[tex]Combined the like terms:[tex]y=\frac{3}{5}x-\frac{26}{5} This is slope-intercept form.

We can also do standard form which is ax+by=c. Usually people want a,b, and c to be integers.

So first thing I will do is get rid of the fractions by multiplying both sides by 5.

This gives me

5y=5\cdot \frac{3}{5}x-5 \cdot 26/5

5y=3x-26

Now subtract 3x on both sides

-3x+5y=-26

You could also multiply both sides by -1 giving you:

3x-5y=26

You might be interested in
3a+4b=7ab<br> Find the mistake and solve
alekssr [168]

Answer:

The mistake is adding and there is no way to solve if you have to add

Step-by-step explanation:

7 0
3 years ago
Plz help I will give Brainlyest plz help fast
Sophie [7]

Answer:

b

Step-by-step explanation:

8 0
2 years ago
Which property or properties of arithmetic do you use when you calculate 3×70 by first calculating 3×7 = 21 and then putting a z
ANEK [815]
The property used is the Associative property

3 × 70 = 3(70) = 3 (7×10) = (3×7) ×10

The formula is

a × bc = a (bc) = a (b×c) = (a×b) ×c
3 0
3 years ago
What is the answer
Klio2033 [76]

Answer:

9

Step-by-step explanation:

Since 12 divided by 4 is 3, that is the constant. So 3 times 3 is 9

6 0
2 years ago
25/9 = 2 ?/9 please would you help me
d1i1m1o1n [39]

Answer:

your answer is 7 because 9 times 2 = 18 then + 7 = 25

Step-by-step explanation:


4 0
3 years ago
Other questions:
  • Kamden is a mind-reading alien. He had each friend draw and look at a card, then he guessed whether the card had a star on it. T
    9·1 answer
  • What is the length of side BC of the triangle? explain how you did it please.
    9·1 answer
  • What is 0.306 in word form
    12·2 answers
  • Geometry b unit 8 lesson 2 answers dose anyone have them?!
    14·2 answers
  • How to find the two sides of a right triangle given only one?
    12·2 answers
  • What is the product of 5.2×<img src="https://tex.z-dn.net/?f=10%5E%7B4%7D" id="TexFormula1" title="10^{4}" alt="10^{4}" align="a
    15·2 answers
  • Sample space for the order in which 4 blocks A B C D can be lined up
    10·1 answer
  • archy bought 15 gallons of gas for $23.85. Joe bought 16 gallons of gas for $24.48. who paid less per gallon?
    15·1 answer
  • A piece of fabric measures 3.9 meters. Express this length in centimeters
    13·2 answers
  • Please answer quick!!! help!
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!