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
Shalnov [3]
2 years ago
12

A direct variation function contains the points( -8,-6) and (12,9). Which equation represents the function ?

Mathematics
2 answers:
natulia [17]2 years ago
6 0

Answer:

y = (3/4)x

Step-by-step explanation:

1)  Find the slope of the line.  As we go from ( -8,-6) to (12,9), x increases by 20 and y increases by 15.  Thus, the slope, m, is m = rise / run = 15/20 = 3/4

2) Recognize that the y-intercept is zero (0) because this is direct variation; the line goes thru the origin.

3) write the equation of the line:  y = mx + b becomes y = (3/4)x

Natasha_Volkova [10]2 years ago
3 0

\bf (\stackrel{x_1}{-8}~,~\stackrel{y_1}{-6})\qquad (\stackrel{x_2}{12}~,~\stackrel{y_2}{9}) \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{9-(-6)}{12-(-8)}\implies \cfrac{9+6}{12+8}\implies \cfrac{15}{20}\implies \cfrac{3}{4}

\bf \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-(-6)=\cfrac{3}{4}[x-(-8)]\implies y+6=\cfrac{3}{4}(x+8) \\\\\\ y+6=\cfrac{3}{4}x+6\implies y=\cfrac{3}{4}x

You might be interested in
Y= -3x - 1 for x= 5????
adell [148]

Answer:

y= -16

Step-by-step explanation:

Y= -3x - 1

Let x = 5

y = -3(5) -1

y = -15-1

y = -16

7 0
3 years ago
Read 2 more answers
In the Sahara Desert one day it was 136oF. In the Gobi Desert a temperature of
coldgirl [10]

Answer: 186^{\circ}F

Step-by-step explanation:

Given : In the Sahara Desert one day it was 136°F.

In the Gobi Desert a temperature of  -50°F was recorded.

Clearly ,  136°F> -50°F

Then, the difference between these two temperatures will be :-

136^{\circ}F-(-50)^{\circ}F\\\\=(136+50)^{\circ}F\ \ [\because \text{Product two neagtive sign is positive]}\\\\=186^{\circ}F

Hence, the difference between these two temperatures = 186^{\circ}F

7 0
2 years ago
a telephone pole casts a shadow that is 29 m long. find the height of the telephone pole if a statue that is 38cm tall casts a s
mafiozo [28]
You do cross multiplication so multiply 29 by 38 and then divide it by 78 which gives you answer of 14.128 cm
6 0
2 years ago
What is the value of x in the rhombus below?
Maurinko [17]
Look into my attachment

in rhombus ABCD, ∠AOB = 90°

Look at ΔAOB
the sum of inner angles = 180°
∠BAO + ∠AOB + ∠ABO = 180°
2x + 1 + 90 + 2x + 5 = 180°
4x + 96 = 180
4x = 84
x = 21

5 0
3 years ago
Read 2 more answers
What amount of pure acid must be added to 600 mL of a 20% acid solution to produce a 75% acid solution?
jarptica [38.1K]
You must add another 600ml acid. Good luck and pls mark as brainliest if I helped
6 0
1 year ago
Other questions:
  • Edyth runs on the treadmill for 25 minutes. She travels 3,200 meters during her workout. If Edyth travels at a constant speed, w
    5·2 answers
  • I need Help fast!!!!
    6·1 answer
  • Mrs. Chip bought 2 sheets and a blanket and paid $41. Mrs. Dale bought a sheet and 4 blankets and paid $80.
    9·1 answer
  • Which point on the x-axis lies on the line that passes through point P and is perpendicular to line MN? (0, 1) (0, 4) (1, 0) (4,
    10·1 answer
  • I need help pleaseee asap​
    10·2 answers
  • A tree grows 6 feet per year. Which rates are equivalent to 6 feet per year? Select all that apply. A. 2 inches per year B. 18 i
    15·1 answer
  • -3(12 - m) = -1(m - 8)
    5·1 answer
  • Hollis put a layer of boxes in the bottom of a container. Each box has a volume of 1 cubic foot. The base layer of boxes in the
    7·1 answer
  • True of false? the slope of thia equation is zero <br>y=x+5<br>​
    11·2 answers
  • What is slope of the line?
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!