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
natulia [17]
3 years ago
11

Write the slip-intercept form of the equation of the line described

Mathematics
1 answer:
kompoz [17]3 years ago
4 0

Answer:

1) y=⅚x -2⅓

2) y=8/3x -5

Step-by-step explanation:

<u>Point-slope form:</u>

y=mx+c, where m is the gradient and c is the y-intercept.

Parallel lines have the same gradient.

Gradient of given line= \frac{5}{6}

Thus, m=⅚

Susbt. m=⅚ into the equation,

y= ⅚x +c

Since the line passes through the point (4, 1), (4, 1) must satisfy the equation. Thus, substitute (4, 1) into the equation to find c.

When x=4, y=1,

1= ⅚(4) +c

1 =  \frac{20}{6}  + c \\ c = 1 -  \frac{20}{6}  \\ c = 1 - 3 \frac{1}{3}  \\ c =  - 2 \frac{1}{3}

Thus the equation of the line is y =  \frac{5}{6} x - 2 \frac{1}{3}.

The gradients of perpendicular lines= -1.

Gradient of given line= -⅜

-⅜(gradient of line)= -1

gradient of line

= -1 ÷ (-⅜)

= -1 ×(-8/3)

= \frac{8}{3}

y =  \frac{8}{3} x + c

When x=3, y=3,

3 =  \frac{8}{3} (3) + c \\ 3 = 8 + c \\ c = 3 - 8 \\ c =  - 5

Thus the equation of the line is y =  \frac{8}{3} x - 5.

You might be interested in
I need help with this (9x+7)+(x+3)
coldgirl [10]

Answer:

9x^2+34x+21

Step-by-step explanation:

distribute all the numbers

3 0
3 years ago
Read 2 more answers
Can someone please help me with this plz only on 13
BaLLatris [955]

Answer:

2/9

Step-by-step explanation:

To determine the fraction of students that walk to school, take the fraction of students that do not ride the bus and multiply by the fraction that walk

6/15* 5/9

Simplify the fractions

6/15 Divide the top and bottom by 3

2/5

2/5 * 5/9 = 2/9

4 0
3 years ago
Do this and I’ll pay u I need help
frutty [35]

Answer:

69

"bring me my money"

Step-by-step explanation:

8 0
3 years ago
Mr. Charles gave both of his sons, Joe and Bill, $5,000. Joe deposited the money in an account that offered simple interest of 1
Maksim231197 [3]

Answer:

Bill by $85

Step-by-step explanation:

Bill :  Compound interest is calculated by multiplying the initial principal amount by one plus the annual interest rate raised to the number of compound periods minus one. The total initial amount of the money given  is then subtracted from the resulting value.

Compounded annually for 6 years at 9 % interest Bill would have $8385.50.

Joe : Simple interest at 11% a year The formula we'll use for this is the simple interest formula.

P is the principal amount, $5000.00.

r is the interest rate, 11% per year, or in decimal form, 11/100=0.11.

t is the time involved, 6year(s) time periods.

So, t is 6year time periods.

To find the simple interest, we multiply 5000 × 11 × 6  = 3300

Usually now, the interest is added onto the principal to figure some new amount after 6 year(s),

or 5000.00 + 3300.00 = 8300.00

As you can see Bill has more by $85.

^Check yourself

5 0
3 years ago
Teddy is writing a proof about the figure shown on the coordinate plane below. He wants to show that quadrilateral WXYZ is a par
faltersainse [42]
B is the answer show that segments WX AND YZ have equal lengths
6 0
3 years ago
Read 2 more answers
Other questions:
  • Find the retail price original price: 119.00; Markdown: 70%
    8·2 answers
  • I really need help with this math problem!!
    7·1 answer
  • what is the equation of the line that is parallel to the line y =-1/3x 4 and passes through the point (6, 5)?
    14·1 answer
  • Which type of equation would best model the data shown?
    9·1 answer
  • Three bacteria are ina dish. Each hour the number of bacteria increases by four. If at the end of the first hour there are 12 ba
    11·1 answer
  • Which expression is equivalent to the one below?
    15·1 answer
  • Set of factors for 12​
    11·2 answers
  • What would x be in the image above?
    5·1 answer
  • Is there a linear relationship between the radius and the volume of these cylinders?
    5·1 answer
  • Pls help me with this question. will give brainliest.
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!