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Lemur [1.5K]
3 years ago
5

PLEASE HELP! ignore the blue dot

Mathematics
1 answer:
Valentin [98]3 years ago
3 0

It must be A, right?

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Write the equation of the line that passes through (5, 6) and (8, 4) in slope-intercept form.
gavmur [86]

Answer:

Step-by-step explanation:

<h3>Equation of the line in slope- intercept form:</h3>

       \sf \boxed{\bf y = mx +b}

Here, m is the slope and b is the y-intercept

  Find the slope with the given two points.

   \sf \boxed{slope = \dfrac{y_2-y_1}{x_2-x_1}}

             \sf =\dfrac{4-6}{8-5}\\\\=\dfrac{-2}{3}

Slope = -2/3 and choose any one the given points.

Substitute m = -2/3  and (5,6)  in the above equation and find 'b'

      \sf 6 =\dfrac{-2}{3}*5+b\\\\6 =\dfrac{-10}{3}+b\\\\6+\dfrac{10}{3}=b\\\\\dfrac{6*3}{1*3}+\dfrac{10}{3}=b\\\\\dfrac{18}{3}+\dfrac{10}{3}=b\\\\\boxed{b=\dfrac{28}{3}}

Equation of the line:

            y = \dfrac{-2}{3}x + \dfrac{28}{3}

4 0
2 years ago
The difference between eight times a number and three is equal to negative nineteen. What is the number?
Alex777 [14]

Answer:

The number is -2.

Step-by-step explanation:

From the word problem, we can figure out the equation for the unknown number (x).

8x-3=-19

We would then work out the equation to find x.

Add 3 to -19.

8x=-16

Divide -16 by 8.

x=-2

7 0
3 years ago
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People use water to​ cook, clean, and drink every day. An estimate of 17.2% of the water used each day is for cooking . If a fam
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3 years ago
Find the equation of the line that contains the given point and with the given slope. Write the equation in slope-intercept form
kumpel [21]

\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}

Actually Welcome to the Concept of the straight lines.

y-y1 = m(x-x1) + C

====> y - 1 = 3(x - 2)

====> y-1 = 3x -6

====> y = 3x - 5

hence the equation is y = 3x - 5

4 0
3 years ago
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