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Semenov [28]
3 years ago
14

Write an equation of the line that passes through (3, 5) and is perpendicular to the graph of y = -3x + 7 write your final equat

ion in slope-intercept form
Mathematics
1 answer:
trasher [3.6K]3 years ago
7 0

Answer: y = x/3 + 4

Step-by-step explanation:

The equation of a straight line can be represented in the slope intercept form as

y = mx + c

Where

m represents the slope of the line.

c represents the y intercept.

The equation of the given line is

y = - 3x + 7

Comparing with the slope intercept form, slope = - 3

If two lines are perpendicular, it means that the slope of one line is the negative reciprocal of the slope of the other line.

Therefore, the slope of the line passing through (3, 5) is 1/3

To determine the y intercept, we would substitute m = 1/3, x = 3 and y = 5 into y = mx + c. It becomes

5 = 1/3 × 3 + c

5 = 1 + c

c = 5 - 1 = 4

The equation becomes

y = x/3 + 4

You might be interested in
If your teacher is 50 years old, what is their age in seconds?
riadik2000 [5.3K]

Based on time conversion, the age of a teacher who is 50 years old in seconds is 1577880000 seconds.

<h3>What is the age of a teacher who is 50 years in seconds?</h3>

The age of the teacher in years is converted to seconds as follows:

  • 60 seconds = 1 minute
  • 60 minutes = 1 hour
  • 24 hours = 1 day
  • 3651/4 days = 1 year

Thus:

50 years to seconds will be:

50 × 365.25 × 24 × 60 × 60 = 1577880000 seconds.

Therefore, the age of a teacher who is 50 years old in seconds is 1577880000 seconds.

Learn more about about time conversion at: brainly.com/question/13893070

5 0
3 years ago
3/4 = c/36<br><br><br> I need help with this fraction proble.
Nataliya [291]

Answer:

c = 27

Step-by-step explanation:

given \frac{3}{4} = \frac{c}{36} ( cross- multiply )

4c = 3 × 36 = 108 ( divide both sides by 4 )

c = 27

note that \frac{27}{36} = \frac{3}{4} in simplest form


7 0
4 years ago
Describe how the graphs of y=1/2x +7 is the same and different from the graph of y= 12x + 7
TiliK225 [7]

Answer:

the slope of the line for y=12x+7 is steeper compared to the other equation

they both have the same y-intercept of y=7

Step-by-step explanation:

i just plugged it into desmos and looked at the graph

hope this helps <3

3 0
3 years ago
Thank you for the help
koban [17]
His suit case is 7,938 cubic inches i think
7 0
3 years ago
Read 2 more answers
Describe how to transform the graph of g(x)= ln x into the graph of f(x)= ln (3-x) -2.
Alenkasestr [34]

Answer:

A

Step-by-step explanation:

Note the following 3 points with respect to a function given as y = f(x).

1. The function y = f(-x) is a reflection across the y-axis

2. The function y = f(x+a) is a horizontal translation a units left and y = f(x-a) is a horizontal translation a units right

3. the function y = f(x) + a is a vertical translation a units up and y = f(x) - a is a vertical translation a units down

Dissecting the transformed function of  f(x) = ln (3-x) -2   w.r.t   f(x) = ln x, we see:

<em>1. x is replaced with -x, so </em><u><em>reflection across y-axis</em></u>

<em>2. we have a horizontal shift in left side because the argument of ln is (3-x) or (-x+3)</em>

<em>3. We have vertical shift 2 units down because there is a -2 after the functional part of ln(3-x)</em>

<em />

Looking at the choices, A is the right answer.

5 0
4 years ago
Read 2 more answers
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