Write an equation in slope-intercept form for a line that passes through the two points (-2,-5) and (-4,3). Show your work.

keeping in mind that perpendicular lines have negative reciprocal slopes, let's check for the slope of the equation above

\(y=\stackrel{\stackrel{m}{\downarrow }}{\cfrac{1}{3}}x+16\qquad \impliedby \qquad \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array} \\\\[-0.35em] ~\dotfill\)

\(\stackrel{~\hspace{5em}\textit{perpendicular lines have \underline{negative reciprocal} slopes}~\hspace{5em}} {\stackrel{slope}{ \cfrac{1}{3}} ~\hfill \stackrel{reciprocal}{\cfrac{3}{1}} ~\hfill \stackrel{negative~reciprocal}{-\cfrac{3}{1} \implies -3}}\)

so we're really looking for the equation of a line whose slope is -3 and it passes through (-9 , 13)

\((\stackrel{x_1}{-9}~,~\stackrel{y_1}{13})\hspace{10em} \stackrel{slope}{m} ~=~ - 3 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{13}=\stackrel{m}{- 3}(x-\stackrel{x_1}{(-9)}) \implies y -13 = - 3 ( x +9) \\\\\\ y-13-3x-27\implies {\Large \begin{array}{llll} y=-3x-14 \end{array}}\)

Answer:

m = 1/3

m⊥ = -3

x1 = -9

y1 = 13

point slope: y-13 = -3(x+9)

slope intercept: y= -3x-14

Step-by-step explanation:

Equation given is in y=mx+b form, so I think m=1/3 (or whatever is right before the x cause it is little hard to see)

To find a perpendicular slope, you use the negative reciprocal of the given slope, so the perpendicular slope would be m=-3

x1 and y1 would be the given coordinates so -9 and 13 respectively

Finally plug in all this info into point slope form equation (y-y1 = m(x-x1)

Point slope would be: y-13 = -3(x+9)

Slope intercept would be: y= -3x-14

Hope this helps!

Answer:

40) 1/2g^3=24g+4

42) g^2=g-10

46) 54 quarters

46) a- The common factor is 5.

b- ???

c- on your own

Step-by-step explanation:

ez

Explanation:

The data from the stem-and-leaf plot is:

10,

24,25,26,

30,30,32,33,

40,45,46

Add up those values

10+24+25+26+30+30+32+33+40+45+46 = 341

Then divide over n = 11 which is the sample size.

341/11 = 31 is the arithmetic mean.

Answer:

341/11 = 31 is the arithmetic mean.

Step-by-step explanation:

Answer:

y=mx+b

Step-by-step explanation:

Thank me with a 5 star review (:

Explanation

The angles ABD and DBC are supplementary since they form a straight line. That means they add to 180 degrees.

(angle ABD) + (angle DBC) = 180

(134) + (2x) = 180

2x = 180-134

2x = 46

x = 46/2

x = 23

Answer: x=23 and the angle relation used was supplementary angles

Step-by-step explanation:

first, you know that angle abd is 134 so you subtract that from 180 and divide it by 2 because angle cbd is 2x and you know they equal 180 because they make a straight line.

Answer:

58.33% is the percent of error.

Step-by-step explanation:

percent of error = 7/12 × 100%

=7/6 × 50%

= 58.33%

Answer:

41.666666666667% error

Step-by-step explanation:

7 - 12/12= -512= -41.666666666667% 

Answer:

How much the price increased (Mark up) or decreased (Mark down).

Step-by-step explanation:

Answer: in this order angle d, e, f line de, ef, fd

Step-by-step explanation:

Let m and h represent hours Mai spends mowing and hauling, respectively. Then (m+h) will be the number of hours Priya spends babysitting. In order for their earnings to be equal, we must have  

 7m +14h = 8.40(m+h)

 Subtract 7m+8.40h:  5.60h = 1.40m

 Divide by 1.40:  m = 4h

Then the total number of hours worked by either person is

 m + h = (4h) +h = 5h

When only whole numbers of hours are worked, the smallest number of hours that will make earnings equal is 5h, with h=1, or 5 hours. In that time, each will earn 5×$8.40 = $42.

Therefore, each of them must work 5 hours and earn $42 before they go to the movies and Mai will work 4 hours mowing and 1 hour hauling.

Answer: they worked 11 hours in total. (Mai works 6 hours and Priya works 5 hours) they will have earned $98. Without adding the extra $14 it’s $84.

Answer:

Step-by-step explanation:

1 and 2

1 because indeed you can't divide -20.2 by zero to get y

2 because the inequality is basically a false situation.

Answer:

Step-by-step explanation:

complementary becaus it's 90° and 90°-25°= 65°

Answer: c) Complementary, 65 degrees

Step-by-step explanation:

Complementary angle = 90 degrees

Therefore,

x+25=90

x=90-25

=65

Answer: Where is the question?

Step-by-step explanation:

I'm sorry, I'm not sure what you mean. Could you please clarify which questions you are referring to and what you would like me to add together?

Answer: 10

Step-by-step explanation:

b can be 10 as,

7*3 = 21

7+3 = 10

∵ \(7x^2\) + 10x + 3

The correct proportion to use to find the amount of orange juice, j, needed to add to 18 L of pineapple juice is:

2/8 = j/18

This proportion relates the ratio of orange juice to pineapple juice in the recipe (2:8) to the amount of orange juice needed to add to 18 L of pineapple juice. By cross-multiplying, we can solve for j as follows:

2/8 = j/18

218 = 8j

36 = 8*j

j = 36/8

j = 4.5

Therefore, you would need to add 4.5 L of orange juice to 18 L of pineapple juice to create the fruit juice recipe that calls for a ratio of 2 parts orange juice to 8 parts pineapple juice.

Answer:

Step-by-step explanation
2 over 8 equals j over 18

This proportion represents the ratio of orange juice to pineapple juice in the recipe. By setting up the proportion, we can solve for the value of 'j,' which represents the amount of orange juice needed.

So, the correct proportion is:

Answer:40 meals

Step-by-step explanation:

15/3=5 and 5x8=40

Answer:

850

Step-by-step explanation:

The 5 has just been written on top as part of the answer (quotient) So, you multiply the 5 times the 17 (that's outside the dividing frame, on the left).

5×17 is 85, but the 5 right there represents 50, so that's why 850 instead of 85.

Answer: 17x5

Step-by-step explanation:

You should put 17 times 5, or 85, in the box. However, we need to add a zero at the end, so it would be 850.

Hope this helps you, if not please leave feedback for next time!

Good luck and have a great day.

Step-by-step explanation:

√7 + √7 = 2√7 (irrational)

√7 + (-√7) = 0 (rational)

√7 + 0 = √7 (irrational)

√7 + 7 = 7 + √7 (irrational)

The answer is the 2nd option / -√7.

Answer: The answer is the 2nd option / -√7.

Step-by-step explanation:

Answer: 1

Step-by-step explanation: first you need to pretend that the absolute value bars are parentheses. Then substitute a with any number less that five, for example z=3

Now we can write our new equation: (3-6)-(3-5) now we have to determine if the final answer inside the parentheses is positive or negative. In the first parentheses 3-6=-3 with is negative. In our second parentheses we have 3-5=-2 which is a also negative.

Knowing that both parentheses are negative results we can set up an equation using z instead of 3:

-(z-6)-(-(z-5)) is our new equation. If we simplify this equation we get 1 for an answer

Answer:

1

Step-by-step explanation:

If z < 5, then both |z-6| and |z-5| gets negative value, so:

Answer is: 1

Answer:

147894.736842

Answer:

1,2,4

Step-by-step explanation:

Had the question before. Hope this helps.

Answer:

A,B,D

Step-by-step explanation:

Just did it

If it starts at 7 and there are 8 lines going to the number 8, then each line represents 1/8 of the distance between 7 and 8, or 1/8 of a unit. If it stops at the third line, then it has traveled 3/8 of a unit. Therefore, the number it represents is 7 + 3/8, or 7.375.

1/16 = x/64

we have to find x

so by applying cross multiplication, we get

64×1 = (x) × 16

so,

x = 4

Answer: She needs 1/2 a cup of oatmeal

Step-by-step explanation:

step 1. turn the 2 1/2 into a decimal to get 2.5

step 2. divide the decimal in half to get 1.25

step 3. add 2.5 + 1.25 = 3.75

step 4. take that answer and subtract it by how much oatmeal you have (3.25) to get 0.5       this means that you need half a cup of oatmeal to make 1 1/2 batches of oatmeal cookies

Answer:

1/2 cups

hope you like it : )