What is the answer for part a and b

line passes through the point (0, –1) and has a positive slope. Which of these points could that line pass through? Check all th

sammy [17]

Answer:

Points passing though are (12, 3),(–2, –5) and (1, 15)

Step-by-step explanation:

For a line passing through (x₁,y₁) and (x₂,y₂) slope is given by $\frac{y_2-y_1}{x_2-x_1}$ .

Here we have one point (0, –1), we need to check slope of all the points given.

(12, 3)

$m=\frac{3-(-1))}{12-0}=\frac{1}{4}>0$

(–2, –5)

$m=\frac{-5-(-1))}{-2-0}=\frac{-4}{-2}=2>0$

(–3, 1)

$m=\frac{1-(-1))}{-3-0}=\frac{2}{-3}=-\frac{2}{3}$

(1, 15)

$m=\frac{15-(-1))}{1-0}=\frac{16}{1}=16>0$

(5, –2)

$m=\frac{-2-(-1))}{5-0}=\frac{-1}{5}=-\frac{1}{5}$

Points with positive slope are (12, 3),(–2, –5) and (1, 15)

8 0

4 years ago

Read 2 more answers

In 2012, five US stamps cost $2.20. how much did seven stamps cost?

WINSTONCH [101]

7 stamps* ($2.20/ 5 stamps)= $3.08.
(Note that the unit cancels out so you get the answer)

The final answer is $3.08~

6 0

4 years ago

Write an equation of the function

ohaa [14]

Answer:

g(x) = |x-3| -4

Step-by-step explanation:

to shift right by 3, subtract three from x inside the absolute value.

to shift down by 4, subtract 4 outside of the absolute value.

g(x) = |x-3| -4

5 0

3 years ago

. If y varies directly with x when y = -4 and x = 10, determine y when x = 2. Write and equation for the direct variation and de

taurus [48]

Answer:

y = - 0.8

Step-by-step explanation:

Given that y varies directly with x then the equation relating them is

y = kx ← k is the constant of variation

To find k use the condition when y = - 4, x = 10, then

- 4 = 10k ( divide both sides by 10 )

- 0.4 = k

y = - 0.4x ← equation of variation

When x = 2 , then

y = - 0.4 × 2 = - 0.8

7 0

3 years ago

Two fair dice are tossed, and the up face on each die is recorded. Find the probability of observing each of the following event

Paladinen [302]

Answer:

Step-by-step explanation:

The sample space is shown in the attached photo.

Probability = number of favourable outcomes/total number of outcomes.

Looking at the diagram, the total possible outcomes is 36.

A) from the diagram, the total number of events in which the sum of the numbers is odd is 18. Therefore, the probability that the sum of the numbers is odd is

18/36 = 1/2

B) the total number of events in which the sum of the numbers is 10 or more is 6. Therefore, the probability that the sum of the numbers is 10 or more is

6/36 = 1/6

C) the total number of events in which 3 appears on each of the two dice is 1. Therefore, the probability that 3 appears on each of the two dice is

1/36

7 0

3 years ago