Find the point-slope equation for the line that passes through the points (5,35) and (-6,-31). Use the first point in your equation.

Answers

Answer 1

Answer:

$\bf (\stackrel{x_1}{5}~,~\stackrel{y_1}{35})\qquad(\stackrel{x_2}{-6}~,~\stackrel{y_2}{-31})\n\n\nslope = m\implies\cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{-31-35}{-6-5}\implies \cfrac{-66}{-11}\implies 6\n\n\n\begin{array}{|c|ll}\cline{1-1}\textit{point-slope form}\n\cline{1-1}\ny-y_1=m(x-x_1)\n\n\cline{1-1}\end{array}\implies y-35=6(x-5)$

Answer 2

Answer:

Final answer:

The point-slope equation of a line can be found by calculating the slope and substituting the values into the point-slope formula. For the given points (5,35) and (-6,-31), the equation becomes y - 35 = m(x - 5).

Explanation:

The point-slope equation of a line, also known as the slope-intercept form, is given by the formula y - y1 = m(x - x1), where m represents the slope of the line and (x1, y1) represents the coordinates of a point on the line.

To find the equation for the line passing through the points (5,35) and (-6,-31), we can use the following steps:

First, calculate the slope using the formula m = (y2 - y1) / (x2 - x1).
Next, substitute the values of the slope (m) and one of the points ((x1, y1)) into the point-slope equation.
Simplify the equation to get the final point-slope equation.

Using the point (5,35) as our reference, we can substitute x1 = 5 and y1 = 35 into the equation: y - 35 = m(x - 5).

Learn more about Point-Slope Equation here:

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What is bigger 10 pounds or 10 kilograms

Answers

10 kilograms are bigger.

None are bigger than the other since they are both weight measures and not size measures. If you were asking which is heavier than your answer is 10 kilograms.

It took a space shuttle 8 minutes, 36 sec to launch and reach outer space. How many sec did it take?\Give u 15 point'

Answers

If it took 8 minutes and 36 seconds, 8 x 60 is 480 and 480 + 36 is 516
So the answer is 516 seconds

if 7 cups of flour are needed to make a cake for 9 people, how many cups are needed to make a cake for 15 people?

Answers

7 cups of flour ... 9 people
x cups of flour = ? ... 15 people

If you would like to know how many cups are needed to make a cake for 15 people, you can calculate this using the following steps:

7 * 15 = 9 * x /9
x = 7 * 15 / 9
x = 35/3
x = 11 2/3 cups of flour

Result: 11 2/3 cups of flour are needed to make a cake for 15 people.

A bag contains 2 red, 4 yellow, and 6 blue marbles.Two marbles are drawn at random. Find the portability that both are blue.

Answers

If two marbles are drawn at random, the probability that they are both blue is 1/4

The formula for calculating the probability is given as:

Probability = Expected outcome/Total outcome

Given that a bag contains 2 red, 4 yellow, and 6 blue marbles

Total outcome = 2 + 4 + 6 = 12 marbles

Since we are to find a probability of picking 2 blue balls

Pr(2 blue balls) = 6/12 * 6/12

Pr(2 blue balls) = 1/2 * 1/2

Pr(2 blue balls) = 1/4

Hence if two marbles are drawn at random, the probability that they are both blue is 1/4

Learn more here: brainly.com/question/22664861

Total number of marbles is 12, there are 6 blues.
When picking the first one the probability to pick the right one is $(6)/(12)=(1)/(2)$
When we pick the second one there are 11 marbles and only 5 blue so the probabilty is $(5)/(11)$

We need to pick 2 blues one after another so we multiply probabilities $(1)/(2)*(5)/(11)=5/22=0.227$ The probability is around 23%

What is the sum of the first 50 natural numbers? How to solve it without adding 50 digits?

Answers

$1+2+3+4+5+\dots+50\n\n1;\ 2;\ 3;\ 4;\ 5;\dots;50\ are\ the\ terms\ of\ a\ arithmetic\ sequence\nwhere\ a_1=1\ and\ d=1\n\nSum:S_n=(a_1+a_n)/(2)\cdot n\n\nS_(50)=(1+50)/(2)\cdot50=51\cdot25=1275\leftarrow solution$

Look at the first one and the last one: 1 + 50 = 51
Look at the second one and the second-last one: 2 + 49 = 51
Look at the third one and the third-last one: 3 + 48 = 51

Every pair you construct in this way adds up to 51 .

There are ( 50/2 ) = 25 pairs.

They all add up to ( 25 pairs ) x ( 51 per pair ) = 1,275

Evaluate: xy - x (x - y^0) if x = 2 and y = -1/2

Answers

Hi

2(-1/2) - 2(2+(-1/2)^0)
= -2/2 - 2(2+(-1/2)^0)
= -1 - 2(2+(-1/2)^0)
= -1 -2 (2+1)
= -1 -2(3)
= -1 -6
= -7

I hope that's help :)

If you have any further questions please let me know :)

$2(- (1)/(2) ) - 2(2+(- (1)/(2))^0)$

$- (2)/(2) - 2(2+(- (1)/(2) )^0)$

$-1 - 2(2+(- (1)/(2) )^0)$

$-1 -2 (2+1)$

$-1 -2*(3)$ -1 -2(3)

$-1 -6$

$-7$

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