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
Gemiola [76]
3 years ago
10

A line passes through the origin and has a slope of -3 what is the equation of the line that is perpendicular to the first line

and passes through the point (3,4)?
Mathematics
2 answers:
sveta [45]3 years ago
6 0

ANSWER

y= \frac{1}{3} x + 3

EXPLANATION

We want to find the equation of a line which is perpendicular to another line with slope -3 and passes through (3,4).

Our line of interest is has a slope that is the negative reciprocal of -3

m =  -  \frac{1}{ - 3}  =  \frac{1}{3}

The equation is given by

y-y_1=m(x-x_1)

We substitute the point and slope to get:

y-4= \frac{1}{3} (x-3)

Expand

y-4= \frac{1}{3} x-1

y= \frac{1}{3} x-1 + 4

y= \frac{1}{3} x + 3

Marianna [84]3 years ago
3 0

Answer: y=\frac{1}{3}x+3

Step-by-step explanation:

The equation of the line is Slope-intercept form is:

y=mx+b

Where "m" is the slope and "b" the y-intercept.

The slopes of perpendicular lines are negative reciprocal.

Then, if the slope of the first line is -3, the slope of the other line must be:

m=\frac{1}{3}

Substitute the point (3,4) into the equation and solve for b:

4=\frac{1}{3}(3)+b\\ 4-1=b\\b=3

Then the equation of this line is:

y=\frac{1}{3}x+3

You might be interested in
Is 48 a solution to 2y = 24
nata0808 [166]

Answer:

No

Step-by-step explanation:

2y = 24

y = 24/2

y = 12

so the answer is incorrect

6 0
3 years ago
Read 2 more answers
Write the standard equation of the circle shown.
zysi [14]

Answer:

b

Step-by-step explanation:

The equation of a circle centred at the origin is

x² + y² = r² ← r is the radius

The circle shown is centred at the origin and has a radius of 5, thus

x² + y² = 5² ⇒ x² + y² = 25 → b

4 0
3 years ago
Bird seed is four dollars a bag of you buy two bags how much change will you get from ten dollar
Paraphin [41]

Answer:

Step-by-step explanation:

2 $4 bags = $8

$10 - $8 = $2 change

4 0
3 years ago
Plzzzzzzzzzzzzzzzzzzz
inysia [295]

Answer:

Step-by-step explanation:

\frac{12x+4}{4}\\ \\ 3x+1\\ \\ 3(3)+1\\ \\ 9+1\\ \\ 10

7 0
3 years ago
Georgia's height is 4 inches less than Sienna's height. Georgia is
iris [78.8K]
Answer:

58+4=62 Sienna’s height is 62 inches

Explanation:

Sienna’s height is 62 inches because Georgia’s height is 58 inches and she is shorter by 4 inches which means you have to add 58+4 which would equal 62.
3 0
3 years ago
Read 2 more answers
Other questions:
  • Work the following problem
    6·1 answer
  • Graph the line using a point and a slope. Write the equation of each line. A line that passes through the point (0, –3) and para
    15·1 answer
  • Two families go to a zoo.
    6·1 answer
  • What is the area of the room. Bed room #2 <br> 11-10 x10-10
    5·1 answer
  • Rebecca and dan are biking in a national park for three days they rode 5 3/4 hours the first day and 6 4/5 hours the second day
    10·1 answer
  • Mr. Harrow has eight boys and six girls in his Honors Pre-calculus class. If he randomly chooses two students, one at a time, wh
    12·2 answers
  • hello could you please help me with this math problem with full explanation which I am unable to solve? Thanks.
    6·1 answer
  • 14/15 - 3/5 simplified
    8·1 answer
  • What is net cash flow
    9·1 answer
  • how would you multiply negative numbers? or negative fractions for example -12 x 12 is what and please explain good
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!