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
Kamila [148]
3 years ago
14

The line perpendicular to y= (-3/2)x -4 and goes through (1,4)

Mathematics
1 answer:
Paladinen [302]3 years ago
3 0

Answer <u>(assuming it is allowed to be in point-slope format)</u>:

y-4 = \frac{2}{3}(x-1)

Step-by-step explanation:

1) First, determine the slope. We know it has to be perpendicular to the given equation, y = -\frac{3}{2} x-4. That equation is already in slope-intercept form, or y = mx + b format, in which m represents the slope. Since -\frac{3}{2} is in place of the m in the equation, that must be the slope of the given line.

Slopes that are perpendicular are opposite reciprocals of each other (they have different signs, and the denominators and numerators switch places). Thus, the slope of the new line must be \frac{2}{3}.  

2) Now, use the point-slope formula, y-y_1 = m (x-x_1) to write the new equation with the given information. Substitute m, x_1, and y_1 for real values.

The m represents the slope, so substitute \frac{2}{3} in its place. The x_1 and y_1 represent the x and y values of a point the line intersects. Since the point crosses (1,4), substitute 1 for x_1 and 4 for y_1. This gives the following equation and answer:

y-4 = \frac{2}{3}(x-1)

You might be interested in
According to the commutative Property of Addition, 7+ 3 = 3 + 7 So, this property says that 7 + x = + ___.
BARSIC [14]
7 + x = x + 7
Commutative Property answer
4 0
3 years ago
Read 2 more answers
Solve the radical equation.
Artist 52 [7]

Hello, I Am BrotherEye

Answer:

x -1 = Sqrt6

Step-by-step explanation:

D.) Is the Proper Answer

8 0
2 years ago
Read 2 more answers
Write the ratio in simplest form 20:10
Mnenie [13.5K]
20:10 | 2:1 | Hope this helps
4 0
3 years ago
Read 2 more answers
Jade buys dress shirts from a clothing manufacturer for s dollars each, and then sells the dress shirts in her retail clothing s
diamong [38]

Answer:

Retail Price = $155

Step-by-step explanation:

The retail price is 55% MORE than the manufacturer buying price.

The manufacturer buying price is $100. So the retail price would be 55% MORE.

Firstly,

55% in decimal is:

55/100 = 0.55

Now 55% of 100 is:

0.55 * 100 = $55

So, the retail price is $55 MORE, so the retail price is:

100 + 55 = $155

Retail Price = $155

5 0
3 years ago
What is the product? 2/3×1/5
Kaylis [27]
2/15 is the correct answer
5 0
2 years ago
Read 2 more answers
Other questions:
  • What is the ninth term in the binomial expansion of (x – 2y)13? 329,472x5y8 –329,472x5y8 –41,184x8y5 41,184x8y5
    8·1 answer
  • The mean of a normally distributed dataset is 12, and the standard deviation is 2.
    9·1 answer
  • In The early months of some year one site added .4 million new accounts every day at this rate how many days would be needed to
    10·2 answers
  • In a recent poll of 760 homeowners in the United States, one in five homeowners reports having a home equity loan that or she is
    7·1 answer
  • There can be more then one answer
    5·1 answer
  • Answer please I need help
    12·1 answer
  • The sum of a number x and 8, all divided by 3
    13·1 answer
  • I need help to find the value please
    7·2 answers
  • Daniel eats 2/10 of yogurt for breakfast each morning how much yogurt does daniel eats for 3 days
    13·2 answers
  • Hii please help i’ll give brainliest if you give a correct answer
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!