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Tema [17]
3 years ago
13

Write an equation of a line through (5,6) and (-1,4)

Mathematics
2 answers:
Dvinal [7]3 years ago
7 0
First, you would do y1-y2, which would be 6-4, which would be 2. Then you would do x1-x2, which would be 5-(-1), which equals 6. Then you would do 2/6, which equals 1/3. Then you would do (1/3)×-1, which would be -1/3. Then, 4-(-1/3), which would be 4 1/3. The equation is y=(1/3)x+4 1/3
ANEK [815]3 years ago
7 0

Answer:

<h2>y = (1/3)x + 13/3</h2>

Step-by-step explanation:

As we move from (-1, 4) to (5, 6), x increases by 6 and y increases by 2.

Thus, the slope of this line is m = rise / run = 2/6 = 1/3.

Starting from the slope-intercept form of the equation of a str. line,

y = mx + b

Substitute 6 for y and 5 for x, as well as 1/3 for m:

6 = (1/3)(5) + b.

Mult. both sides by 3, to eliminate fractions:

18 = 5 + 3b.  Then 3b must equal 13, and b = 13/3.

The desired equation is y = (1/3)x + 13/3.

Check:  Does the given point (-1, 4) satisfy this equation?

Is 4 = (1/3)(-1) + 13/3 true?

Is 4 = -1/3 + 13/3 true?  YES

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I’ll fail if I don’t get this right pls help
son4ous [18]

Step-by-step explanation:

In order to find the number of solutions, we have to expand both sides out first.

3(x - 2) + 7x =  \frac{1}{2} (6x - 2)

First, expand 3(x-2), which will obtain 3x-6.

Next, expand (1/2)(6x-2), which gives 3x - 1.

The result at this point should be as shown below:

3x  - 6 + 7x = 3x - 1

Now, we would shift all x terms to the left and all number terms to the right.

3x + 7x - 3x =  - 1 + 6

After simplifying, the final equation would be:

7x = 5

This is a linear equation and it has one solution.

x =  \frac{5}{7}

7 0
3 years ago
Read 2 more answers
Jan won 51.9% of the votes in the race for school secretary. She received 415 votes. About how many students are in the school?
slava [35]
Mental way:
415 / 51.9 * 100 = 800 students in the school.

detailed way:
x is the amount of students in the school.
51.9% * x = 415
(divide both sides by 51.9% (or 0.519))
x = 800 students
7 0
3 years ago
Just answer the question i'll mark you the brainlest.
Fiesta28 [93]

Answer:

- \frac{8}{11}

Step-by-step explanation:

\frac{(5-3)^2}{1+3^2-21} ← evaluate numerator and denominator

= \frac{2^3}{1+9-21}

= \frac{8}{-11}

= - \frac{8}{11}

8 0
3 years ago
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A given line has the equation 2x 12y = −1. what is the equation, in slope-intercept form, of the line that is perpendicular to t
boyakko [2]
12y = - 2x - 1
y = - 1/6x - 1/12

- 1/6 × m2 = - 1
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3 0
3 years ago
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Find the following:<br><br> sin A<br> cos A<br> tan A<br> cot A<br> sec A<br> csc A
DedPeter [7]

Step-by-step explanation:

we use the law of sine :

sin(A)/a = sin(B)/b = sin(C)/c

with the related angles being opposite of the lines.

so, we have

sin(A)/1 = sin(A) = sin(90)/ sqrt(10) = 1/ sqrt(10) =

= 0.316227766...

cos²(A) + sin²(A) = 1

cos(A) = sqrt(1 - sin²(A)) = sqrt(1 - 0.1)) = sqrt(0.9) =

= 0.948683298...

tan(A) = sin(A)/cos(A) = 0.333333333...

cot(A) = 1/tan(A) = 3

sec(A) = 1/cos(A) = 1.054092553...

csc(A) = 1/sin(A) = 3.16227766...

7 0
3 years ago
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