All categories

3 years ago

Write the equation of the line, in slope intercept form, that passes through the point (9,-5) and has a slope of -2

Mathematics

1 answer:

elixir [45]3 years ago

4 0

Answer:

y = - 2x + 13

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = - 2, thus

y = - 2x + c ← is the partial equation of the line

To find c substitute (9, - 5) into the partial equation

- 5 = - 18 + c ⇒ c = - 5 + 18 = 13

y = - 2x + 13 ← equation in slope- intercept form

You might be interested in

Lynn has a watering can that holds 32 cups of water, and she fills it half full. Then she waters her 21 plants so that each plan

notka56 [123]

Amount of water Lynn's watering can can hold = 32 cups

As she fills it half full means she fills it with 32/2= 16 cups

Number of plants watered from 16 cups = 21 plants

As, each plant gets same amount of water, so each plant gets =

$\frac{16}{21}$ cups or 0.76 cups of water

Hence, each plant gets 0.76 cups of water.

8 0

3 years ago

In a true-false test containing 50 questions, a student is to be awarded 2 marks for every correct answer and -2 for every incor

BlackZzzverrR [31]

Answer:

1. 47 correct, 0 wrong and 3 unanswered

2. 48 correct, 1 wrong and 1 unanswered

Step-by-step explanation:

Given;

Total number of questions = 50

For correct answers = 2

For wrong answers = -2

Unanswered questions = 0

Yash scored 94 marks

Let c, w and u represent the number of correct, wrong and unanswered questions

2×c - 2 × w + 0×u = 94

2c -2w = 94 .....1

And;

c + w + u = 50 .....2

We have 2 equations and 3 unknowns

By observing the problem, we can see two possible solutions;

Case 1: Assuming he did not miss (get wrong) any answer;

He needs to score 47 answers right;

47 × 2 = 94

Then;

c = 47 w = 0 and u = 50 - (47+0) = 3

47 correct, 0 wrong and 3 unanswered

Case 2: Assuming he got one answer wrong;

He would need to score one more answer right compared to the first case;

(47+1) × 2 - 1 × 2 = 96 - 2 = 94

c = 47+1 = 48

w = 1

u = 50 - (48+1) = 1

So he need to score 48 correct answers, 1 wrong answer and 1 unanswered.

3 0

3 years ago

A group of friends wants to go to the amusement park. They have no more than $310

Marizza181 [45]

Answer: $35x+9\leq 310,\ 8$

Step-by-step explanation:

Given

A group of friends has $310 to spend

Parking costs $9 and ticket cost $35 per person

Suppose there are x friends who go to amusement park

So, the cost of tickets and parking must be less than or equal to $310

$\Rightarrow 35x+9\leq 310\\\text{Subtract 9 from both sides}\\\Rightarrow 35x\leq 301\\\text{Divide both sides by 35}\\\Rightarrow x\leq 8.6$

This indicates that there sholud be maximum 8 persons who can go to amusement park with this much money.

5 0

3 years ago

Which of the following points lies on the circle whose center is at the origin and whose radius is 5? A (-3, 4) B (1, -2) C (, )

Sholpan [36]

Do you have any idea on how this is solved? When (h, k) both equal 0; you get a special formula. x^2 + y^2 = r^2 --- x^2 + y^2 = 25

And you can kinda look at the graph and guess which one it'll be.

Take a look at the graph here: http://prntscr.com/bj7ixd

3 0

3 years ago

Read 2 more answers

When I double this number I get 50 whats my number

Kipish [7]

Answer:

It says double, so it means that:

_____ x 2 = 50

In order to find _____, you must reverse the equation.

50 / 2 = _______

This means that:

50 / 2 = 25

So, ______ = 25

4 0

4 years ago

Read 2 more answers