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
Montano1993 [528]
3 years ago
7

What is the equation of a line that passes through point R(3,7) and has a slope of 6?

Mathematics
1 answer:
djyliett [7]3 years ago
4 0
The answer in slope intercept form is y = 6x-11

If you want the answer in standard form, then it would be 6x-y =11

notes:
* Slope intercept form is y = mx+b
* Standard form is Ax+By = C
=====================================

Explanation:

The given slope is m = 6
The line goes through (x,y) = (3,7)

Plug those three values into the equation below. Isolate b
y = mx+b
7 = 6*3+b
7 = 18+b
7-18 = 18+b-18 ... subtract 18 from both sides
-11 = b
b = -11

So because m = 6 and b = -11, this means y = mx+b turns into y = 6x-11

The answer in slope intercept form is y = 6x-11

To convert to standard form Ax+By = C, we just have to get all the x and y terms together on the same side. I'm going to move the y term to the right side and move the 11 to the left side

y = 6x-11
y+11 = 6x-11+11
y+11 = 6x
y+11-y = 6x-y
11 = 6x-y
6x-y = 11

The answer in standard form is 
6x-y = 11
which is a different way to write the same line

You might be interested in
Find the midpoint of MN M=-24 N=1
LekaFEV [45]
Midpoint=12.5 let me know if this helps
4 0
3 years ago
Write the equation of a line perpendicular to 9xplus7yequals6 that passes through the point ​(9​,negative 7​).
andrew11 [14]

k:\ y=m_1x+b_1\\\\l:\ y=m_2x+b_2\\\\k\ ||\ l\iff m_1=m_2\\\\k\ \perp\ l\iff m_1m_2=-1

We have:

k:\ 9x+7y=6\ \ \ |-9x\\\\7y=-9x+6\ \ \ \ |:7\\\\y=-\dfrac{9}{7}x+\dfrac{6}{9}\to m_1=-\dfrac{9}{7}\\\\l:\ y=m_2x+b\\\\l\ \perp\ k\iff-\dfrac{9}{7}m_2=-1\ \ \ \ |\cdot\left(-\dfrac{7}{9}\right)\\\\m_2=\dfrac{7}{9}\to\ l:\ y=\dfrac{7}{9}x+b

We know. The line <em>l</em> passes throught the point (9, -7). Substitute the coordinates of the poin to the equation of line<em> l </em>:

-7=\dfrac{7}{9}\cdot9+b\\\\-7=7+b\ \ \ \ |-7\\\\b=-14

y=\dfrac{7}{9}x-14\ \ \ \ |\cdot9\\\\9y=7x-126\ \ \ \ |-9y\ |+126\\\\7x-9y=126

Answer: y=\dfrac{7}{9}x-14\to7x-9y=126


7 0
3 years ago
What is the sum of 6 and q?
Olin [163]
6+w is the answer to thst
8 0
3 years ago
why does the method for finding the volume of an irregular-shaped object work for regular-shaped objects as well?
kumpel [21]

Answer:

Its the same formula that your using to find a regular object as an irregular one. The only difference is that your adding the formula of multiple shapes together since an irregular shape consists of multiple regular ones

hope this helps!

5 0
3 years ago
Perform the indicated operation. -8 + (-4)
Lostsunrise [7]

It is -12, negative + negative is Negative unless if its with a positive it will cancel out

ex, -12 + 6= -6

3 0
3 years ago
Other questions:
  • A mosquito collides head-on with a car traveling 60 mph. Is the force of the mosquito on the car larger than, smaller than, or e
    8·1 answer
  • Are the linear equations in standard form? sort each equation into the appropriate category.
    5·1 answer
  • Mary thinks the triangle is equilateral. how would you support or dispute her conjecture?
    8·1 answer
  • Consider a circle centered at C(-2,-4). If the point P(1,-1) lies on the circle, then which of the following points also lies on
    15·1 answer
  • Is 1:2:3 equivalent to 2:4:6​
    10·1 answer
  • What is (6x6) Divided by (2+7)
    13·2 answers
  • Sage and Tom started the month with the same number of talk minutes on their cell phones. Sage talked for 7 minutes with her dad
    8·1 answer
  • Select the correct solution in each column of the table
    7·1 answer
  • Which of the following is not a true statement about the angles shown below? A H 3x x + 15 Z D x + 15 A. The measure of ZAHD is
    8·1 answer
  • Please help ASAP. The picture is above
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!