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3 years ago

What is the equation of the line that passes through the points (-3,4) and (6,7)

2 answers:

6 0

Y=mx+b, m=(y2-y1)/(x2-x1)

m=(7-4)/(6--3)=3/9=1/3

y=x/3 +b, now use either point to solve for b, I'll use (6,7)

7=6/3 +b

7=2+b

b=5 so our line is:

y=x/3 +5 or more neatly...

y=(x+15)/3

stellarik [79]3 years ago

6 0

The first think you have to do is find the slope. This is found by (y2-y1)/(x2-x1) using these two points, this gives a slope (m) of 1/3. This will be plugged into the point slope equation y-y1=m(x-x1) this gives an equation of y-7=1/3(x-6) or Y=1/3x+5

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21-m=9 anyone know this ?

prisoha [69]

Answer:

m=12

Step-by-step explanation:

21-m=9

-m=9-21

-m=-12

m=12

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andreyandreev [35.5K]

Answer:

24 sets

Step-by-step explanation:

Carey, the music reporter for her high school newspaper, is writing an article about this year's school musical. Carey wants to interview one male and one female cast member, and there are 4 boys and 3 girls in the musical this year. Carey also wants to interview one of the 2 students working backstage on the tech crew. Therefore, there can be 24 different sets of people that Carey can interview.

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3 years ago

Which ordered pair is a solution of the equation?

ANEK [815]

I think it’s b I am sure

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3 years ago

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I really need help on this idk how to do this and its due tonight.

dangina [55]

X = (-14)

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3 years ago

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HELP! help is needed ASAP! help is very much appreciated.

lisov135 [29]

Answer:

Length of side e is 4.12

Length of side f is 4.24

The length of side f is larger than length of side e

Step-by-step explanation:

We are given two line segments e and f. We need to find lengths of both e and f and determine which is larger.

We can use distance formula to calculate lengths of line segments.

The Distance Formula is: $\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Finding length of side e:

We are given points (-2,3) and (-1,-1)

here we have $x_1=-2, y_1=3, x_2=-1 , y_2=-1$

Putting values in distance formula and finding length

$Length \ of \ side \ e= \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\Length \ of \ side \ e= \sqrt{((-1)-(-2))^2+(-1-(3))^2}\\Length \ of \ side \ e= \sqrt{(-1+2)^2+(-1-3)^2}\\Length \ of \ side \ e= \sqrt{(1)^2+(-4)^2}\\Length \ of \ side \ e= \sqrt{1+16}\\Length \ of \ side \ e= \sqrt{17}\\Length \ of \ side \ e= 4.12$

So, Length of side e is 4.12

Finding length of side f:

We are given points (2,2) and (-1,-1)

here we have $x_1=2, y_1=2, x_2=-1 , y_2=-1$

Putting values in distance formula and finding length

$Length \ of \ side \ f= \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\Length \ of \ side \ f= \sqrt{((-1)-(2))^2+(-1-(2))^2}\\Length \ of \ side \ f= \sqrt{(-1-2)^2+(-1-2)^2}\\Length \ of \ side \ f= \sqrt{(-3)^2+(-3)^2}\\Length \ of \ side \ f= \sqrt{9+9}\\Length \ of \ side \ f= \sqrt{18}\\Length \ of \ side \ f= 4.24$

So, Length of side f is 4.24

The length of side f is larger than length of side e

6 0

3 years ago