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
tatyana61 [14]
3 years ago
8

Calculate the slope of the line through the points (6,-8) and (3,-4)

Mathematics
1 answer:
nevsk [136]3 years ago
7 0

Answer:

a. y=-4/3 x

b. Yes because the point makes the equation true.

Step-by-step explanation:

To write the equation of a line we must have a slope and a point. To find the slope we use the slope formula and substitute (x,y) points in it as shown below:

m=\frac{y_2-y_1}{x_2-x_1}=\frac{-4--8}{3-6}=\frac{-4+8}{-3}=\frac{4}{-3}=\frac{-4}{3}

Now that we have the slope, plug in the slope and choose one point to plug into the point slope formula. Use the point-slope form to write the equation, then simplify and convert into the slope intercept form.  

(y--4)=-4/3(x-3)  

y+4=-4/3(x-3)

y+4=-4/3x +4

y=-4/3x

Test (-3,4): 4= -4/3 (-3)

                 4=4 Yes



You might be interested in
You are considering buying a piece of industrial equipment to automate a part of your production process. This automation will s
Minchanka [31]

Answer:

No.

Step-by-step explanation:

The equipment wll save $35,000 per over for 10 years, which totals to $350,000.

If the equipment is bought on a simple interest rate of 12% annually for ten years, it will cost:

A = P (1 + rt),\\where\ A =\ Final\ amount,\ r=rate\of\interest\annually,\ t=time,\ P= Principal\ value\\\\P = 200,000r = 0.12t = 10 \\\\A = 200,000 ( 1 + 0.12\times 10)\\A = 200,000 (1 + 1.2)\\A = 200,000 (2.2)\\A = 440,000

We will need to pay $440,000 in total for the machine in over ten years.

If we compare both values, it can be deduced that industrial equipment is more expensive than labor cost.

4 0
3 years ago
PLEASE HELP?
NeTakaya

Answer:

Step-by-step explanation:

change = dollar_amount - spent_amount

change = 50 - 36.85

change = 13.15

3 0
1 year ago
Read 2 more answers
The given line segment has a midpoint at (3,1)
masya89 [10]

Answer:

y=\frac{1}{3}x

Step-by-step explanation:

We have been given an image of a line segment and we are asked to find the equation of perpendicular bisector of our given line segment in slope-intercept form.

Since we know that the slope of perpendicular line to a given line is negative reciprocal of the slope of the given line.

Let us find the slope of our given line using slope formula.

\text{Slope}=\frac{y_2-y_1}{x_2-x_1}, where,

y_2-y_1 = Difference between two y-coordinates,

x_2-x_1 = Difference between two x-coordinates of same y-coordinates.

Upon substituting the coordinates of points (2,4) and (4,-2) in slope formula we will get,

\text{Slope}=\frac{-2-4}{4-2}

\text{Slope}=\frac{-6}{2}

\text{Slope}=-3

Now we will find negative reciprocal of -3 to get the slope of perpendicular line.

\text{Negative reciprocal of }-3=-(-\frac{1}{3})=\frac{1}{3}

Since point (3,1) lies on the perpendicular line, so we will substitute coordinates of point (3,1) in slope-intercept form of equation (y=mx+b).

1=\frac{1}{3}\times 3+b

1=1+b

1-1=1-1+b

b=0

Therefore, the equation of perpendicular line will be y=\frac{1}{3}x+0=\frac{1}{3}x and option A is the correct choice.

5 0
3 years ago
Read 2 more answers
Calculate the average ratw of change of a function, f(x)=x^2 as x changes from 5 to 15
Sergeeva-Olga [200]
The answer for your problem is shown on the picture.

4 0
3 years ago
Write the equation of the line with the slope =5 and that goes through point (3,-5)
viva [34]

Answer:

y=5x-20

Step-by-step explanation:

Point-slope form.

\frac{y-(-5)}{x-3} = 5\\y+5 = 5x-15\\y=5x-20

6 0
3 years ago
Other questions:
  • What is the solution to the system of equations ? <br><br> 4x-5y=-17<br> x+6y=61
    5·1 answer
  • Diameter = 6 inches circumference =?
    10·2 answers
  • Which two rational numbers does square root of 14 lie between
    8·1 answer
  • I need help with Area could someone help plz ! It would mean a lot ! :)
    10·2 answers
  • How do the graphs of y = 1/x and y=5/x+6 compare?
    11·1 answer
  • How to do word problems
    5·2 answers
  • What is the measurement of angle 1
    12·1 answer
  • Can someone help me, please?
    7·1 answer
  • 1. On the subway, 8 out of 11 people are
    11·1 answer
  • The measure of an angle is 42.1°. What is the measure of its complementary angle?
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!