You start at (-4, 4). You move down 1 unit and left 1 unit. Where do you end?

1) First, find the slope of the line. Use the slope formula $m = \frac{y_2-y_1}{x_2-x_1}$ to find the slope. Substitute the x and y values of the given points into the formula and solve:

$m = \frac{(-5)-(-4)}{(4)-(1)} \\m = \frac{-5+4}{4-1} \\m = \frac{-1}{3}$

So, the slope is $-\frac{1}{3}$ .

2) Use the point-slope formula $y-y_1 = m (x-x_1)$ to write the equation of the line in point-slope form. Substitute values for $m$ , $x_1$ , and $y_1$ into the formula.

Since $m$ represents the slope, substitute $-\frac{1}{3}$ in its place. Since $x_1$ and $y_1$ represent the x and y values of one point on the line, choose any one of the given points (it doesn't matter which one) and substitute the x and y values of it into the formula. (I chose (1,-4), as seen below). This gives the equation of the line in point-slope form.

$y-(-4) = -\frac{1}{3} (x-(1))\\y+4 = -\frac{1}{3} (x-1)$

5 0

3 years ago

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In preparation for the holiday season, Big Bird Co. decided to increase production of stuffed Bert characters by 30%.

marin [14]

Answer:

the additional characters will the factory creating per day is 105 characters

Step-by-step explanation:

The computation of the additional characters will the factory creating per day is shown below

= Number of character produced × (1 + increased percentage)

= 350 × (1 + 0.30)

= 350 × 1.30

= 455 characters

Now the additional characters would be

= 455 - 350

= 105 characters

hence, the additional characters will the factory creating per day is 105 characters

3 0

3 years ago

Use the image below to answer the following question. Find the value of sin x° and cos y°. What relationship do the ratios of si

Inessa [10]

Using relations in a right triangle, it is found that:

$\sin{x} = \frac{6}{10} = 0.6$

$\cos{y} = \frac{6}{10} = 0.6$

Since x and y are complementary angles, we have that sin(xº) = cos(yº).

<h3>What are the relations in a right triangle?</h3>

The relations in a right triangle are given as follows:

The sine of an angle is given by the length of the opposite side to the angle divided by the length of the hypotenuse.

The cosine of an angle is given by the length of the adjacent side to the angle divided by the length of the hypotenuse.

The tangent of an angle is given by the length of the opposite side to the angle divided by the length of the adjacent side to the angle.

The hypotenuse in this problem is given as follows:

$h^2 = 6^2 + 8^2$

$h = \sqrt{100}$

h = 10.

The sine of x is:

$\sin{x} = \frac{6}{10} = 0.6$

The cosine of y is:

$\cos{y} = \frac{6}{10} = 0.6$

Since x and y are complementary angles, we have that sin(xº) = cos(yº).

More can be learned about relations in a right triangle at brainly.com/question/26396675

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8 0

2 years ago