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2 years ago

Find the equation of the line shown in the graph

Mathematics

1 answer:

FromTheMoon [43]2 years ago

6 0

Answer:

y=x+6

Step-by-step explanation:

y=mx+b

The slope (m) can be found by putting the rise (1) over the run (1).

y=1x+b

The y-intercept is 6, so therefore b is 6.

y=x+6

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Using the linear equation 4x–3y=12, express: b x in terms of y

Amiraneli [1.4K]

Answer:

y = [4(x-3)]/3

Step-by-step explanation:

4x = 12+3y

3y = 4x-12

y = [4(x-3)]/3

Best regards

8 0

2 years ago

Y= 10x - 32 what is the x and y value of this equation

s344n2d4d5 [400]

Answer:

It depends, Y or X have to be set up to get an actual number because you can simply plug any numbers.

6 0

2 years ago

Which is the graph of the line LaTeX: y-2=3\left(x-1\right)y − 2 = 3 ( x − 1 )?

andreyandreev [35.5K]

Answer:

Step-by-step explanation:

The equation given takes the point-slope form which is, $y - b = m(x - a)$ . Where,

(a, b) = (x, y) coordinates of a point on the line.

m = slope of the line .

To find which graph has a line equation of $y - 2 = 3(x - 1)$ , look for the points which will give you something almost exactly as the equation if you substitute their values into $y - b = m(x - a)$ .

Let's consider option D.

We have a given point (1, 2). a = 1, b = 2.

Substitute these into $y - b = m(x - a)$

We have:

$y - (2) = m(x - (1))$

$y - 2 = m(x - 1)$

As you can see, this looks almost exactly as

$y - 2 = 3(x - 1)$ .

If you want to be certain that option D is the answer, find m by using the coordinates of any other point on the line and plug into $y - 2 = m(x - 1)$ to find m:

In graph D, let's take the points (0, -1)

$-1 - 2 = m(0 - 1)$

$-3 = m(-1)$

$-3 = -m$

Divide both sides by -1

3 = m

m = 3.

Therefore, option D is the graph of the line $y - 2 = 3(x - 1)$ .

3 0

2 years ago

Solve the system of equations:

Ahat [919]

Answer:

Step-by-step explanation:

z = 3

2y + z = 1

2y + 3 = 1 {substituting z =3}

2y = 1 -3

2y = -2

y = - 2/2

y = -1

2x +3y +2z = 13

2x + 3 * (-1) + 2*3 = 13 { {substituting z =3} and y = -1}

2x -3 + 6 =13

2x + 3 = 13

2x = 13 - 3

2x= 10

x = 10/2

x = 5

8 0

2 years ago

Could some one plz help me with this question

zhuklara [117]

Answer:

Step-by-step explanation:

The formula for this type of interest is $A=P(1+\frac{r}{n})^{nt}$ , where A is the total amount, P is the initial investment, x is the interest rate, n is the amount of times that the investment is compounded a year, and t is the amount of years. Plugging in the numbers given, you get:

$A=1800(1+\frac{0.025}{2})^{2\cdot 12}=$

$1800(1.0125)^{24}\approx 2425.23$

Now, she invests this into a new account, and you can set up the following equation:

$A=2425.23(1+\frac{0.04}{12})^{12\cdot 7}=$

$2425.23(1.0033333)^{84}\approx 3207.40$ , or option A.

Hope this helps!

3 0

2 years ago