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2 years ago

Slope intercept form of a line that has a slope of -3/4 and passes through (4, 3)

Mathematics

1 answer:

tia_tia [17]2 years ago

6 0

<h3>Explanation</h3>

First Method

We have the given slope value and the coordinate point that the graph passes through.

$y = mx + b$

where m = slope and b = y-intercept. Substitute the value of slope in the equation.

$y = - \frac{3}{4} x + b$

We have the given coordinate point as well. After we substitute the slope, we substitute the coordinate point value in the equation.

$3 = - \frac{3}{4} (4) + b \\$

Solve the equation for b-term

$3 = - 3 + b \\ 3 + 3 = b \\ 6 = b$

The value of b is 6. We substitute the value of b in the equation.

$y = - \frac{3}{4} x + 6$

Second Method

We can also use the Point-Slope form to solve the question.

$y - y_1 = m(x - x_1)$

Given the y1 and x1 = the coordinate point value.

Substitute the slope and coordinate point value in the point slope form.

$y - 3 = - \frac{3}{4} (x - 4)$

Simplify/Convert into Slope-intercept

$y = - \frac{3}{4} (x - 4) + 3 \\ y = - \frac{3}{4} x + \frac{12}{4} + 3 \\ y = - \frac{3}{4} x + 3 + 3 \\y = - \frac{3}{4} x + 6$

<h3>Answer</h3>

 $\large \boxed {y = - \frac{3}{4} x + 6}$ 

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H. Four businessman invested a sum of Rs.

balandron [24]

Answer:

The answers are in solutions.

Step-by-step explanation:

Four businessmen invested a sum of Rs. 250,000 in the ratio of 3:5:7:10 to start a new business.

(i) The amount invested by each businessman is;

1^st businessman invested:

$\frac{3}{25} * 250,000 =$ Rs. 30,000

2^nd businessman invested:

$\frac{5}{25} * 250,000$ = Rs. 50,000

3^rd businessman invested:

$\frac{7}{25} *250,000$ = Rs. 70,000

4^th businessman invested:

$\frac{10}{25} *250,000$ = Rs. 100,000

If they gained Rs. 50,000

(ii) The profit each one of them got is;

1^st businessman got:

$\frac{3}{25} * 50,000$ = Rs. 6,000

2^nd businessman got:

$\frac{5}{25} *50,000$ = Rs. 10,000

3^rd businessman got:

$\frac{7}{25} *50,000$ = Rs. 14,000

4^th businessman got:

$\frac{10}{25} *50,000$ = Rs. 20,000

8 0

2 years ago

Among 35 students in a class, 20 of them earned A's on the midterm exam, 13 earned A's on the nal exam, and 12 did not earn A's

enyata [817]

Answer:

The correct answer is " $\frac{2}{7}$ ".

Step-by-step explanation:

According to the question,

Number of students,

= 35

A ! mid term A,

$n(A) = 20$

B : final A,

$n(B) = 13$

Didn't start,

$n(A^c \cap B^c) = 12$

Now,

⇒ $n(A \cup B)=35-12$

$=23$

then,

⇒ $n(A \cup B)=20+13-23$

$=10$

hence,

The probability will be:

⇒ $P(A \cap B)=\frac{10}{35}$

⇒ $=\frac{2}{7}$

7 0

2 years ago

What is the value of v in the equation 3(2v + 1)=-15(5v + 16)

Darina [25.2K]

Answer:

v = -3

Step-by-step explanation:

6v+3= -75v - 15 (16)

81v= -243

then put it over -3 then

-243 over 81

7 0

3 years ago

Read 2 more answers

Median and mean math questions

Harlamova29_29 [7]

Answer: #7 D) neither set. #6. C) the sum of the data values must be 75. #5. The 6th missing temperature must be 80 degrees

Step-by-step explanation: #7. if you eliminate 3 numbers on each side on set A, then the numbers remaining are 2 and 19. In order to find the median add the two numbers, 19+2 which equals 21. Then divide that number by 2 to find your median, or in other words find the average, 21 divided by 2 is 10.5 which is not 12.5, so that set doesn’t work. In set B eliminate 2 numbers on each side. That will leave you with 10 and 9, then again find the average of the numbers. 10+9=19, and 19 divided by 2= 9.5. So therefore neither of the sets have a median of 12.5

#6. If there are five numbers in the data set and you are finding the average to be 15, then the five values must equal 75. In order to find the average of five numbers you must first add all of your values, and then divide by five, for there are five numbers. If you add all of your numbers up it must total 75, because 75 divided by 5= 15 which is the mean. Any other total would not work.

#5. The median of the original set is 72 degrees. In order to find the missing number you need to do some check and guess. Take the original median and add a number relatively close to the other numbers, for example 75, then add the two numbers together, 72+75=147. Then divide that by two, 147 divided by 2= 73.5 which is not the correct median number, its too low, so experiment with higher numbers and repeat the same process until you find a number that, if added to 72, totaled, and then divided by 2 equals 76.

I really hope this helped :)

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2 years ago

The bakery made 92 muffins 17 or a blueberry 23 with cranberry and the rest of the chocolate chip how many chocolate chip muffin

astra-53 [7]

If there are 92 muffins in total and 17 are blueberry, and 23 are cranberry then the remaining muffins (chocolate chip) is 52 muffins.

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2 years ago