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2 years ago

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Write an equation of the line with the given information. Use slope-intercept form or point slope form. The final answer must be

in slope intercept form y=mx+b. PLEASE SHOW WORK THANKS!!

1 answer:

weeeeeb [17]2 years ago

6 0

Answer:

y = 6

Step-by-step explanation:

Find the y intercept (b) by plugging in (x,y) and m into y = mx + b

6 = 0 (-2) + b

6 = b

The equation will be y = 0x + 6 OR y = 6

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Write the slope-intercept form of the equation that passes through the given points. (separate equations for each of them)

guajiro [1.7K]

Answer:

Part 1) $y=-\frac{1}{5}x-1$

Part 2) $y=3x-16$

Part 3) $y=4$

Step-by-step explanation:

we know that

The equation of the line into slope intercept form is equal to

$y=mx+b$

where

m is the slope

b is the y-intercept

Part 1) we have

(10,-3) (5,-2)

<u><em>Find the slope</em></u>

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

substitute

$m=\frac{-2+3}{5-10}$

$m=\frac{1}{-5}$

$m=-\frac{1}{5}$

<em>Find the value of b</em>

we have

$m=-\frac{1}{5}$

$point (10,-3)$

substitute in the equation $y=mx+b$ and solve for b

$-3=-\frac{1}{5}(10)+b$

$-3=-2+b$

$b=-3+2=-1$

substitute

$y=-\frac{1}{5}x-1$

Part 2) we have

(6,2) (7,5)

<u><em>Find the slope</em></u>

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

substitute

$m=\frac{5-2}{7-6}$

$m=\frac{3}{1}$

$m=3$

<em>Find the value of b</em>

we have

$m=3$

$point (6,2)$

substitute in the equation $y=mx+b$ and solve for b

$2=3(6)+b$

$2=18+b$

$b=2-18=-16$

substitute

$y=3x-16$

Part 3) we have

(4,4) (-7,4)

<u><em>Find the slope</em></u>

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

substitute

$m=\frac{4-4}{-7-4}$

$m=\frac{0}{-11}$

$m=0$

This is a horizontal line (parallel to the x-axis)

The y-intercept b is equal to the y-coordinate

<em>therefore</em>

The equation of the line is

$y=4$

6 0

3 years ago

I need help please!!

valkas [14]

Answer:

14 hrs of babysitting and 6 hrs of tutoring

3 0

2 years ago

There are three concerts at lakeside one has 953 as attendance and the other 2 have 1100 as the attendance what is the average o

Vilka [71]

You have to add all three concerts 953+1100+1100 =3,163
And the answer you have divided by 3
The average of people at the concerts were 1,054

3 0

3 years ago

2 x<br>— = -----<br>7 x + 10<br><br>x = ???

valentina_108 [34]

9514 1404 393

Answer:

x = 4

Step-by-step explanation:

Maybe you want to find x such that ...

2/7 = x/(x +10)

2(x +10) = 7x . . . . . . multiply by 7(x+10)

20 = 5x . . . . . . . . . . subtract 2x, simplify

4 = x . . . . . . . . . . . . divide by 5

_____

<em>Additional comment</em>

You can almost solve this "by inspection" if you recognize the difference of the denominator and numerator is 5 on the left and 10 on the right. If you multiply the fraction on the left by 2/2, you get 4/14, the values in x/(x+10) in the fraction on the right.

6 0

2 years ago

What is the slope of a line between the points (-4,-3) and (4, -2)?

Mashcka [7]

Answer:

slope is 1/8

Step-by-step explanation:

you have to substitute the values of x and y into the equation below:

after simplifying your answer would be 1/8

4 0

3 years ago