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mariarad [96]
3 years ago
14

Find an equation of a line that goes through the points (1,6) and (4, -2). Write your answer in the form y=mx + y.

Mathematics
1 answer:
zmey [24]3 years ago
8 0

Answer:

The desired equation is y = (-8/3)x + 26/3.

Step-by-step explanation:

Moving from (1,6) to (4, -2) involves an increase of 3 in x and a decrease of 8 in y.  Thus, the slope of the line thru these two points is m = rise / run = -8/3.

Using the slope-intercept form of the eq'n of a straight line  and inserting the data given (slope = m = -8/3, x = 4,  y = -2), we get:

y = mx + b => -2 = (-8/3)(4) + b, or  -2 = -32/3 + b

Multiply all terms by 3 to clear out the fraction:

-6 = -32 + 3b.

Then 26 = 3b, and b = 26/3.

The desired equation is y = (-8/3)x + 26/3.

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Solve the equation y. 6=2(y+2)
atroni [7]

Answer:

y = 1

Step-by-step explanation:

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    6-(2*(y+2))=0

Step by step solution :

Equation at the end of step  1  :

 6 -  2 • (y + 2)  = 0

Pulling out like terms :

3.1     Pull out like factors :

  2 - 2y  =   -2 • (y - 1)

Equation at the end of step  3  :

 -2 • (y - 1)  = 0

Equations which are never true :

4.1      Solve :    -2   =  0

This equation has no solution.

A a non-zero constant never equals zero.

Solving a Single Variable Equation :

4.2      Solve  :    y-1 = 0

Add  1  to both sides of the equation :

                     y = 1

One solution was found :

                  y = 1

Processing ends successfully

plz mark me as brainliest :)

6 0
3 years ago
Read 2 more answers
Draw 8 lines that are between 1 inch and 3 inches long. Measure each line to the nearest fourth inch, and make a line plot.
IRISSAK [1]

The length of the line is the difference between the endpoints of the line

The length of each line to the nearest fourth inch is 0.25 inch

<h3>How to measure the length of each line</h3>

The length of the horizontal line is given as:

Length = 2 inches

This is calculated as:

Length = 3 inches - 1 inch

Length = 2 inches

8 lines are to be drawn between the 1 inch and 3 inches point.

So, the length (l) of each line is:

l = \frac{2\ inches}{8}

Simplify the fraction

l = \frac{1\ inches}{4}

Divide

l = 0.25\ inch

Hence, the length of each line to the nearest fourth inch is 0.25 inch

Read more about line measurements at:

brainly.com/question/14366932

6 0
2 years ago
F(x)=3/2(x-2)^2-24 <br>put this in standard form​
gregori [183]

Answer:

f(x) = 3x^2 - 12x -  36.

Step-by-step explanation:

f(x) =3 /2(x - 2)^2 - 24

f(x) = 3/2 (x^2 - 4x + 4) - 24

f(x) = 3/2 x^2 - 6x + 6 - 24

f(x) = 3/2 x^2 - 6x - 18

Multiply through by 2:

f(x) = 3x^2 - 12x -  36.

6 0
3 years ago
Which of the following is not a possible r-value -0.3 -1.6 0.8 0.3
Sliva [168]

Answer: -1.6 is not a possible r-value.

Step-by-step explanation:

R-values range from -1 to +1. Out of all these numbers, -1.6 does not belong. Hence, -1.6 is not a r-value.

3 0
3 years ago
What’s the volume of the prism HURRY
noname [10]

Answer:

300

Step-by-step explanation

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8 0
2 years ago
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