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3 years ago

How would you write y=2/3x+1/3 in point slope form??

Mathematics

1 answer:

gladu [14]3 years ago

6 0

Answer:

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

Step-by-step explanation:

Point slope form is y - y1 = m(x - x1) where m = the slope and (x1, y1) is a point on the line.

y = 2/3x + 1/3 which gives the slope m = 2/3.

We can now find a point on the line by putting x = 1 say then find y:

y = 2/3(1) + 1/3 = 2/3 + 1/3 = 1 so the point is (1, 1).

(x1, y1) = (1, 1)

So the answer is ;

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

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Rosalie earns extra money by working as a babysitter over the weekend. She charges $10 to drive to the home and an additional $8

agasfer [191]

Answer: The input values are B-number of hours (x).

The output values are C-charge for babysitting(y).

The value of $10 represents the B-y intercept.

The value of $8 represents the C-slope.

Step-by-step explanation:

Charges to drive to the home= $10

Additional charges per hour=$8

Let x be the hour she worked (independent variable) and y be the total charge for baby sitting (dependent variable)

Thus, the input values are number of hours (x) and the output values are charge for babysitting(y)

According to the situation the equation would be

y=8x+10

which is equivalent to the slope intercept form y=mx+c, where

m=8, slope of line

At x=0, y=10

Thus, $10 represents the y intercept

6 0

3 years ago

Read 2 more answers

2.) Solve 48 = -6<br>4.) Solve 4 + 3.5 = 12.5

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These aren't solvable.

5 0

3 years ago

How many total hours did the girls spend cleaning their home

solmaris [256]

Answer:

it should be 12

Step-by-step explanation:

because 3x4=12

7 0

3 years ago

Read 2 more answers

The midpoint of \overline{\text{AB}}AB is M(-6, -4)M(−6,−4). If the coordinates of AA are (-4, -3)(−4,−3), what are the coordina

valentina_108 [34]

Answer:

The coordinates of B is (-8,-5).

Step-by-step explanation:

The midpoint of line AB is M. The coordinate of M is (-6,-4).

The coordinates of A is (-4,-3)

We need to find the mid point of B.

If M(x,y) is the midpoint of the coordinates (x₁,y₁) and (x₂,y₂). The mid point theorem is used as follows :

$M(x,y)=(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2})$

Let the mid point of B is (x₂,y₂). Put (x,y) = (-6,-4), (x₁,y₁) = (-4,-3).

$(-6,-4)=(\dfrac{-4+x_2}{2},\dfrac{-3+y_2}{2})\\\\\dfrac{-4+x_2}{2}=-6\ \text{and}\ \dfrac{-3+y_2}{2}=-4\\\\-4+x_2=-12\ \text{and}\ -3+y_2=-8\\\\x_2=-12+4\ \text{and}\ y_2=-8+3\\\\x_2=-8\ \text{and}\ y_2=-5$

So, the coordinates of B is (-8,-5).

6 0

3 years ago

vRichard has a red card (R) and a black card (B). He picks a card randomly from the pair and then rolls a six-sided die. The sam

Alik [6]

The Sample space for three cards is

$S=\left\{\left(B,1\right),\left(R,1\right),\left(G,1\right),\left(B,2\right),\left(R,2\right),\left(G,2\right),\left(B,3\right),\left(R,3\right),\left(G,3\right),\left(B,4\right),\left(R,4\right),\left(G,4\right)$ $\left(B,5\right),\left(R,5\right),\left(G,5\right),\left(B,6\right),\left(R,6\right),\left(G,6\right) \right \}$

There are two cards red(R) and black(B) and a six-sided die.

The event is one card is picked randomly and then rolls the die.

So, the Sample space is as follows.

$S=\left\{\left(B,1\right),\left(R,1\right),\left(B,2\right),\left(R,2\right),\left(B,3\right),\left(R,3\right),\left(B,4\right),\left(R,4\right),\left(B,5\right),\left(R,5\right),\left(B,6\right),\left(R,6\right) \right \}$

<h3>Find Sample space if there are three cards.</h3>

Consider there were three cards red(R), black(B) and green(G) a six-sided die.

The event is one card is picked randomly and then rolls the die.

So, the sample space will be as follows,

$S=\left\{\left(B,1\right),\left(R,1\right),\left(G,1\right),\left(B,2\right),\left(R,2\right),\left(G,2\right),\left(B,3\right),\left(R,3\right),\left(G,3\right),\left(B,4\right),\left(R,4\right),\left(G,4\right)$ $\left(B,5\right),\left(R,5\right),\left(G,5\right)\left(B,6\right),\left(R,6\right),\left(G,6\right) \right \}$ .

Learn more about sample space here :-

brainly.com/question/24273864

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7 0

2 years ago