MATHEMATICS MIDDLE SCHOOL

Which equation is a point slope form equation for line AB ?y+2=2(x+3)
y−3=2(x−2)
y−5=2(x−6)
y−6=2(x−5)

A graph with a line running through point A, with coordinates (3, 2), and point B, with coordinates (5, 6)

Answers

Answer 1

Answer:

Answer: $y-6=2(x-5)$

Step-by-step explanation:

The point-slope form of equation of s line that passes through two points (a,b) and (c,d) is given by :-

$(y-d)=(d-b)/(c-a)(x-c)$

Given : A graph with a line running through point A, with coordinates (3, 2), and point B, with coordinates (5, 6).

Then, the a point slope form equation for line AB will be :-

$(y-6)=(6-2)/(5-3)(x-5)$

$(y-6)=(4)/(2)(x-5)$

$y-6=2(x-5)$

Hence , equation is a point slope form equation for line AB will be :

$y-6=2(x-5)$

Answer 2

Answer:

Answer:

Answer choice D:

y - 6 = 2(x - 5)

Step-by-step explanation:

This question is basically asking you to find the point-slope form equation for a line going through the points (3, 2) and (5, 6).

As you can tell by the name, point-slope form needs both a point that the line goes through and the slope of the line.

You can find the slope of the line by using the slope formula since you have two points that the line goes through.

Slope formula: $m=(y_2-y_1)/(x_2-x_1)$

Substitute in the points A and B into the formula.

$m=(6-2)/(5-3) \rightarrow(4)/(2) \rightarrow 2$

The slope of this line is 2.

Now since we have the slope and a point of the line, we can plug this into the point-slope form equation, which is y - y1 = m(x - x1).

We will be using one of the points (I will be using point A) to substitute the coordinates into y1 and x1, and using the slope to substitute into m.

Substitute point A's coordinates and the slope of the line into the point-slope form equation.

y - (2) = 2(x - (3))

I always put parentheses around the numbers I substitute into an equation to see exactly what is being plugged in, but now you can remove them to find your answer.

y - 2 = 2(x - 3)

Now, since none of the answer choices do not fit with the answer we have found, we can use the other point coordinate-- point B.

Substitute point B and the slope 2 into the equation.

y - (6) = 2(x - (5))

Remove the parentheses.

y - 6 = 2(x - 5)

There is an answer choice for this answer we have found, answer choice D.

By the way, both of the equations we found: y - 2 = 2(x - 3) and y - 6 = 2(x - 5) will yield the same answer in the end so don't worry if one of the points don't work if you have a multiple choice like this question.

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Elsa ran 7 out of 10 days. what percent of those days does she run

Answers

She ran 70% of the days in the week. 7/10=70%

1 Original price $150 markdown 40%2 original price $18.99 markdown 25%
3 original price $95 markdown 10%
4 original price $75 markdown 15%

Answers

1. 150* .40 = 60 so 150 -60 = 90 so the markdown price is $90

2. 18.99*.25 =4.75 (rounded ) so 18.99-4.75 is $14.24 as your markdown price

3. 95 * .10= 9.5 so 95- 9.5 = $85.50 as your markdown price

4. 75*.15=11.25 so 75-11.25=$63.75 as your markdown price

Answer:

1. 150* .40 = 60 so 150 -60 = 90 so the markdown price is $90

2. 18.99*.25 =4.75 (rounded ) so 18.99-4.75 is $14.24 as your markdown price

3. 95 * .10= 9.5 so 95- 9.5 = $85.50 as your markdown price

4. 75*.15=11.25 so 75-11.25=$63.75 as your markdown price

In the number
23.45, the digit
4 is in the Select...
place.

Answers

Answer:

tenths place

Step-by-step explanation:

tens ones . tenths hundredths

2 3 . 4 5

The four is in the tenths place

Let's use the place value chart.

You can see that the digit 4 is in the tenths place.

So the value of the digit is 4 tenths.

Solve the system if equations by substitution

Y=3x-13
3x+2y=19

Answers

$\left \{ {{y=3x-13} \atop {3x+2y=19}} \right. \n\nSubstitution\n\n3x+2(3x-13)=19\n\n3x+6x-26=19\n\n9x-26=19\ \ \ |add\ 26\n\n9x=45\ \ \ | divide\ by\ 9\n\nx=5\ny=3x-13=3*5-13=15-13=2\n\n\nx=5\ny=2$

The solution to the system of equations is x = 5 and y = 2.

Given that:

The system of equations:

y = 3x - 13 (1)

3x + 2y = 19 (2)

Step 1: Solve equation (1) for Y:

y = 3x - 13

Step 2: Substitute y from equation (1) into equation (2):

3x + 2(3x - 13) = 19

Step 3: Simplify the equation and solve for x:

3x + 6x - 26 = 19

9x - 26 = 19

9x = 19 + 26

9x = 45

x = 45/9

x = 5

Step 4: Substitute x = 5 into equation (1) to find Y:

y = 3(5) - 13

y = 15 - 13

y = 2

So, the values of x and y are 5 and 2, respectively.

Learn more about Equation here:

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If about 32,834.5 kilobytes of memory is still available how many more pictures can they take

Answers

how much memory is it to take the picture just divide the total memory by 1 phoyo memory

There are nine students in a class two boys and seven girls if the teacher pics a group of four at random what is the probability that everyone in the group is a girl