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
timama [110]
3 years ago
10

What is the equation of the line that goes through the point (6,-1) and is parallel to the line represented by the equation belo

w?
y=-5/6 x+3

A. y= -5/6x + 4
B. y= -5/6x - 6
C. y= -5/6x -4
D. y= -5/6x + 6
Mathematics
2 answers:
stepladder [879]3 years ago
6 0

\huge{\boxed{y=-\frac{5}{6} x+4}}

Parallel lines share the same slope, so the slope of the parallel line in this case must be -\frac{5}{6}.

Point-slope form is y-y_1=m(x-x_1), where m is the slope and (x_1, y_1) is any known point on the line.

Plug in the values. y-(-1)=-\frac{5}{6} (x-6)

Simplify and distribute. y+1=-\frac{5}{6} x+5

Subtract 1 from both sides. \boxed{y=-\frac{5}{6} x+4}

gtnhenbr [62]3 years ago
4 0

Answer:

y = -5/6x   +   4        (slope - intercept form)

OR

5x + 6y -24 = 0          (standard form)

Step-by-step explanation:

<u><em>What is the equation of the line that goes through the point (6,-1) and is parallel to the line represented by the equation below?</em></u>

<u><em>y=-5/6 x+3</em></u>

<u><em /></u>

To solve this;

We need to first find the slope of the the equation given

Comparing the equation given with y=mx + c, the slope (m) = -5/6, any equation parallel to this equation will have the same slope as this equation.

Since our new equation is said to be parallel to this equation the slope(m) of our new equation is also -5/6.

Now we will proceed to find the intercept of our new equation, to find the intercept, we will simply plug in the value of the points given and the slope into the formula y=mx + c and then simplify

The value of the points given are; (6, -1) which implies x=6 and y=-1  slope(m)= -5/6

y = mx + c

-1 = -5/6 (6)  +  c

-1 = -5  +  c

Add 5 to both-side of the equation to get the value of c

-1+5 = -5+5 + c

4 = c

c=4

Therefore the intercept(c) of our new equation is 4

We can now proceed to form our new equation. To form the equation, all we need to do is to simply insert the value of our slope (m) and intercept (c) into y = mx +  c

y = -5/6x   +   4

This above equation is in slope-intercept form, we can further simplify it to be in the standard form.

6y = -5x + 24

5x + 6y -24 = 0

You might be interested in
Please help me! This math is killing me!
ankoles [38]

Answer:C

Step-by-step explanation:

8 0
2 years ago
You want to save $4,500 to buy an above-ground swimming pool. You deposit $3,750 in an account earning 5.5% simple interest. Aft
Arlecino [84]
Assuming the price of the pool does not change, then
Additional interest required is 4500-3750=750
using
I=Pit, we set up equation
750=3750*0.055*t
Solve for t
t=750/(3750*0.055)=3.64  years.
So will need to wait 3.64 years, or rounded up to 4 years.

8 0
3 years ago
In the equation 3x+ 2 = 11 which number is the constant?
grigory [225]

Answer:

The constant is 2 and 11

Step-by-step explanation:

A constant is a number that always has the same value. In this equation 2 and 11 are the constants because they stay the same. 3x doesn't stay the same because 3 is multiplying x.

Hope This Helps :)

6 0
3 years ago
At what rate is a car traveling, if it goes 157.5 miles in 2.5 hours?
elena-s [515]

Answer:

63

Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
A safety regulation states that the height hh of a guardrail should be 106 centimeters with an absolute deviation of no more tha
AlexFokin [52]
Well 106 divided by 7 is 15 so 15 times 7 is 106
6 0
2 years ago
Other questions:
  • Sam solved the following problem:
    14·2 answers
  • I need help on number 26.
    6·1 answer
  • 1. Yasmine earns $0.25 for each cup of lemonade she sells.
    6·1 answer
  • the function f(x)=40x-80 models the number of visitors a website received x days after it was created. Which is the most appropr
    11·1 answer
  • Write an integer to represent a 6 yard loss in football.
    11·1 answer
  • Please answer the question in the picture
    6·1 answer
  • Plzzz answer both questions and I will give you 100 points
    9·2 answers
  • If 8x -16 = 0 what is the value of x
    15·2 answers
  • Carla packed her suitcase for her summer vacation. She packed four shirts: red, green, white and blue. She packed two belts: bro
    6·2 answers
  • A math textbook has 900 pages. The teacher had covered 312 pages in the first form and 289 pages in the second form. The teacher
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!