Ask question

Ask question

All categories

sleet_krkn [62]

3 years ago

7

A line with a slope of 2/5 passed through the point (-2,3). Write the equations of the line in point-slope form and graph the li

ne

1 answer:

DochEvi [55]3 years ago

5 0

Answer:

y - 3 = (2/5)(x + 2)

Step-by-step explanation:

Start with the general point-slope form of the equation of a straight line:

y - k = m(x - h). Now substitute -2 for h and 3 for k, and also 2/5 for m:

y - 3 = (2/5)(x + 2)

You might be interested in

Suppose a car uses one gallon of gasoline for

MrRissso [65]

Answer:

the awnser is D) $41.25.

5 0

2 years ago

Read 2 more answers

Harry buys 22 fish he has a round fish bowl and a rectangular fish tank how could he place the fish in the bowl and tank. Equati

Juliette [100K]

Answer:

11 and 11 in each of each fish tank or put more fish in the rectangular fish tank

5 0

3 years ago

Hi do any of you know how to do this?

Oksi-84 [34.3K]

Answer: yes, it's a quadratic equation, the formula is x = −b ± √(b2 − 4ac) 2a. a=8m2 b=-2m and c =0. This only works if the other side is 0. The answer would be m=1!!!!! can i plz get a brainliest!

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

Help it’s slope idk how to do it

Over [174]

a. $\boxed{y-602=\frac{2}{3}(x-3)}$

b. For every month the pine tree grows about 0.67 inches.

c. <em> </em>It represents the height of the tree at the moment Ariel started to record the heights.

<h2>Explanation:</h2>

<h3>PART A.</h3>

In this exercise we have that in July Ariel recorded the height of a pine tree and how quickly it was expected to grow in next several months. From the Table, we can get the following points:

$P_{1}(3,602) \\ \\ P_{2}(6,604) \\ \\ P_{3}(q,606) \\ \\ P_{4}(12,608)$

It is obvious that this problem follows a linear equation, so our goal is to find the equation that matches the Table.

The point slope form of the equation of a line is:

$y-y_{1}=m(x-x_{1}) \\ \\ Where: \\ \\ m:Slope \\ \\ (x_{1}, y_{1}):A \ point \ on \ the \ line$

Finding (m):

$Using: \\ \\ P_{1}(x_{1},y_{1}) \rightarrow P_{1}(3,602) \\ \\ P_{2}(x_{2}, y_{2}) \rightarrow P_{2}(6,604) \\ \\ m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}=\frac{604-602}{6-3} \\ \\ m=\frac{2}{3}$

Finally, the equation of the line is:

$(x_{1}, y_{1}) \rightarrow (3,602) \\ \\ \boxed{y-602=\frac{2}{3}(x-3)}$

<h3>PART B.</h3>

In this case, we have that:

The x-axis represents the <em>Number of Months </em>the pine tree was expected to grow.
The y-axis represents the <em>Height of the Tree </em>in inches.

Since the slope o a line is:

$Slope=\frac{Change \ in \ y}{Change \ in \ x}=\frac{2}{3}$

Then, this means that<em> every three months the pine tree grows two inches, </em><em>or </em><em>for every month the pine tree grows about 0.67 inches.</em>

<h3>PART C.</h3>

The y-intercept can be found setting $x=0$ . So, from our equation:

$y-602=\frac{2}{3}(x-3)} \\ \\ \\ If \ x=0: \\ \\ y-602=\frac{2}{3}(0-3) \\ \\ y-602=-2 \\ \\ Solving \ for \ y: \\ \\ y=602-2 \\ \\ y=600$

So the y-intercept is $y=600$ and<em> represents the height of the tree at the moment Ariel started to record the heights.</em>

<h2>Learn more:</h2>

Slope Intercept form: brainly.com/question/4192440

#LearnWithBrainly

4 0

3 years ago

The Cooking Club was making some pies to raise money for the school . The cafeteria made 2 pies and was cut into 6 pieces . How

Temka [501]

2? It says it in the question I think

5 0

3 years ago