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
SSSSS [86.1K]
3 years ago
5

Write an equation of the line that passes through (2, 7) and (0, −5) y=

Mathematics
2 answers:
zysi [14]3 years ago
8 0
First, solve for slope.
Formula for slope: \frac{y2-y1}{x2-x1}
Plug in values:\frac{-5-7}{0-2} =  \frac{-12}{-2} = 6
Slope: 6
Second, we must plug into point-slope form. 
Formula for point-slope: y - y1 = m(x-x1)
Plug in the values: y - 7 = 6(x-2)
Solve. 
y - 7 = 6(x-2) 

y - 7 = 6x - 12

Add 7 both sides. 

y = 6x - 5
So the equation is: y = 6x - 5
viva [34]3 years ago
4 0
((-5) - 7) / (0-2) = slope because equation for slope is y2 - y1 / x2 - x1. Then the y-intercept is already given. So slope is -12/-2 = 6 so, y= mx + b, meaning mx is slope of -6x and b being -5. Therefore the equation is y = -6x - 5. Hope this helps!
You might be interested in
What is 61 divided by 207.4
anyanavicka [17]
61/207.4 is 0.29411764705<span>
</span>
8 0
4 years ago
Find the midpoint of the segment with the given endpoints . G(-3,-5) and H(1,-1)
Serhud [2]
All you have to do for this is follow the midpoint formula.

Let me know if the picture is unclear and I'll type it out for you.

4 0
3 years ago
The graph of g is a translation 4 unit down of the graph of f(x) = 6x-4. The rate of change of g over the interval -2 ≤ x ≤ 4 is
Alex73 [517]

The function g(x) is a linear function, and the rate of change over the interval  -2 ≤ x ≤ 4 is 6

<h3>How to determine the rate of change?</h3>

The function f is given as:

f(x) =6x - 4

When translated down by 6 units, the rule of translation is:

g(x) = f(x) - 4

So, we have:

g(x) = 6x - 4 - 4

Evaluate

g(x) = 6x - 8

The rate of change over -2 ≤ x ≤ 4 is then calculated using:

g'(x) = [g(b) - g(a)]/[b - a]

So, we have:

g'(x) = [g(4) - g(-2)]/[4 + 2]

Evaluate

g'(x) = [g(4) - g(-2)]/[6]

Calculate g(4) and g(-2)

g(4) = 6 * 4 - 8 = 16

g(-2) = 6 * -2 - 8 = -20

So, we have:

g'(x) = (16 + 20)/6

Evaluate

g'(x) = 6

Hence, the rate of change over the interval  -2 ≤ x ≤ 4 is 6

Read more about rate of change at:

brainly.com/question/8728504

#SPJ1

3 0
2 years ago
The two parallelograms in the graph below are similar. Which sequence of transformations proves that the parallelograms are simi
prohojiy [21]

Answer:

A rotation 90 degrees clockwise about the origin followed by a dilation with scale factor A

Step-by-step explanation:

The rotation is going clockwise, so that already eliminates the first, second, and third answer, leaving answer C

4 0
4 years ago
when the driver is in the empty truck, the mass is 2948.35 kilogram. the mass of 1 box of paper is 22.5 kilograms. the driver de
marishachu [46]

Answer:

  0 boxes minimum

Step-by-step explanation:

The mass of the truck and paper must satisfy ...

  22.5b + 2948.35 ≤ 4700 . . . . total truck mass cannot exceed bridge limits

  22.5b ≤ 1751.65

  b ≤ 77.85

The driver can take a minimum of 0 boxes and a maximum of 77 boxes of paper over the bridge.

_____

The question asks for the <em>minimum</em>. We usually expect such a question to ask for the <em>maximum</em>.

7 0
3 years ago
Other questions:
  • Write a word problem for 35 divides into 490
    6·2 answers
  • Is 419.10 less or greater than 419.099
    15·2 answers
  • I need help finding the mean, median, mode, and range of 124, 112, 110, 126, 98, 140, 124, 112, and 112
    8·1 answer
  • Please helpppppppppp
    10·2 answers
  • June bought ​ 3 1 2 312 ​ gallons of white paint at $17.50 per gallon and ​ 1 3 4 134 ​gallons of blue paint at $19.00 per gallo
    12·1 answer
  • ASAP HELP ME ON THIS PLEASE i'm so lost
    5·1 answer
  • eli worked on a part time job in summer for 6 days. he worked 4 hours on each of the 6 days. he was paid a total of 300 for his
    7·1 answer
  • Find the value of x in the triangle shown below.
    15·1 answer
  • 5. Company “A” charges $80 a month for
    6·1 answer
  • Could someone help me super super quick?
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!