MATHEMATICS HIGH SCHOOL

Line JK passes through points J(–4, –5) and K(–6, 3). If the equation of the line is written in slope-intercept form, y = mx + b, what is the value of b?–21
–4
11
27

Answers

Answer 1
Answer:

If the equation of the line is written in slope-intercept form, y = mx + b, then the value of b is -21 and is denoted as option A.

What is Slope?

This is also referred to as the gradient of a line and measures its steepness and direction.

Slope = (y₂ - y₁) / (x₂ - x₁)

Parameters

J(-4, -5) and K(-6, 3)

= (3 - (-5)) / (-6 - (-4))

= (3 + 5) / (-6 + 4)

= 8 / -2

= -4

Substitute one of the coordinates into the formula to solve for b

y = mx + b

y = -4x + b

3 = -4(-6) + b

3 = 24 + b

3 - 24 = b

b = - 21

Read more about Slope of a line here brainly.com/question/20848

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Answer 2
Answer:

Find the slope that passes between the points.

(y₂ - y₁) / (x₂ - x₁)

J(-4, -5)

K(-6, 3)

(3 - (-5)) / (-6 - (-4))

(3 + 5) / (-6 + 4)

8 / -2

-4

Now slap that slope into the formula and substitute on of the coordinates to the formula to solve for b (I'll take point K's coordinate):

y = mx + b

y = -4x + b

3 = -4(-6) + b

3 = 24 + b

3 - 24 = b

- 21 = b

b = -21

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Answer:

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Answers

Answer:

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I answered 5 questions that are EASY AS FUDGE LOL and i just want someones feedback to see if it is right WILL GIVE BRAINLIEST HELPPPPPPPPPPPPP at least take a look at it!1. The number of people that belong to a certain social website is 412 and growing at a rate of 5% every month.


How many members will there be in 9 months?


Enter your answer, rounded to the nearest whole number, in the box.


MY ANSWER IS: 639......RIGHT OR WRONG




2. The expression 15.85(1+x) gives the total cost of a toy, where x is the sales tax written in decimal form.


What does 1 + x represent in the expression?




percent of original price being paid in tax

cost of toy

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What is the equivalent monthly rate to the nearest hundredth of a percent?


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4. Enrollment was increasing at a rate of 20% per year.


What was the monthly growth rate?




Enter your answer, rounded to the nearest tenth of a percent, in the box.


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5. The value of a truck after t years is represented by the function f(t)=22,200(0.92)t .


What does the value 22,200 represent in this situation?




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The value of the truck decreases by $22,200 each year.

The value of the truck after t years is $22,200.

Answers

Answer:

1. The population increases exponentially, therefore the number of members in the team will increase by the equation modeled by :

\text{Number of members = }a_0(1+(Rate)/(100))^(Time)\n\n\implies\text{Number of members = }412(1+(5)/(100))^9\n\n\implioes\text{Number of members after 9 months = }639

2. Total cost of the toy is calculated by multiplying the initial cost and the amount of tax charged on the toy.

Here, 15.85 represents the initial cost of the toy

Hence, 1 + x represents the amount of tax charged on the toy.

3. Rate per year is given to be 12.5%

Now, to find monthly rate, divide the yearly rate by 12

\text{Monthly Rate = }(12.5)/(12)=1.04\%

4. Rate per year is given to be 20%

Now, to find monthly rate, divide the yearly rate by 12

\text{Monthly Rate = }(20)/(12)\approx 1.7\%

5. The value of a truck after t years is represented by the function f(t)=22,200(0.92)t .

Here, 2200 is the initial value of the truck.

Answer:

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412 times 5% equals 20.6

times that by 9 for 9 months then that gives you the answer.


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