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2 years ago

What is the equation of the line that passes through the point (-6,3) and has a slope of −4/3?

Mathematics

1 answer:

marin [14]2 years ago

6 0

Answer:

$y = - \frac{4}{3} x - 5$

Step-by-step explanation:

The standard form for the equation of a line is

$y = mx + c$

We were told that

$y = 3 \: \: \: x = - 6 \: \: \: m = - \frac{4}{3}$

*Note m is the slope*

Therefore

$y = mx + c \\ 3 = - \frac{4}{3} (- 6) + c \\ 3= 8 + c \\ 3 - 8= c \\ - 5 = c$

So the answer is

$y = - \frac{4}{3} x - 5$

You might be interested in

If you are 600 m from a batter when you see him hit a ball, how long will you wait to hear the sound of the bat hitting the ball

Molodets [167]

Answer:

<em>The speed of sound at 20°C is 343.42 m/s.</em>

<em>You have to wait 1.75 seconds to hear the sound of the bat hitting the ball</em>

Step-by-step explanation:

<u>Speed of Sound</u>

The speed of sound is not constant with temperature. Generally speaking, the greater the temperature, the greater the speed of sound.

The approximate speed of sound in dry air at temperatures T near 0°C is calculated from:

$\displaystyle v_{\mathrm {s} }=(331.3+0.606\cdot T )~~~\mathrm {m/s}$

The air is at T=20°C, thus the speed of sound is:

$\displaystyle v_{\mathrm {s} }=(331.3+0.606\cdot 20 )~~~\mathrm {m/s}$

$v_{\mathrm {s} }=343.42\ m/s$

The speed of sound at 20°C is 343.42 m/s.

To calculate the time to hear the sound after the batter hits the ball, we use the formula of constant speed motion:

$\displaystyle v=\frac{d}{t}$

Where d is the distance and t is the time. Solving for t:

$\displaystyle t=\frac{d}{v}$

Substituting the values v=343.42 m/s and d=600 m:

$\displaystyle t=\frac{600}{343.42}$

t = 1.75 s

You have to wait 1.75 seconds to hear the sound of the bat hitting the ball

6 0

3 years ago

What is the value of x in the proportion 2 1/4/x = 1 1/2/3 3/5?

nikdorinn [45]

Answer:

its d bc it is so yeah suck a toe hehehehehehehhehehehehehehehehhehehehehehehehehhehehehehhehehehehhehehehehehehehehehhehhehehehhhehehehehhehhehehehe

6 0

3 years ago

What’s the mean of 3 32 36 30 33 36

Daniel [21]

Answer:

Mean = 28.33

Step-by-step explanation:

Comment

You need two inputs. The first is the sum of the numbers and the second is the number of entries in the data.

Givens

Sum = 3 + 32 + 36 + 30 + 33 + 36

Number of entries = 6

Solution

Sum = 170

Mean = sum / number of enteries

Mean = 170 / 6

Mean = 28.33

4 0

2 years ago

Help <br><br> simply. this math problem

saveliy_v [14]

- 4 1/5 = -21/5 = -42/10

-13 1/10 = -131/10

-42/10 - -131/10=

-42/10 + 131/10 = 89/10 = 8 9/10

answer is A

4 0

4 years ago

Read 2 more answers

Which of the following is the product of the rational expressions shown below? 7x/x-4•x/x+7

Gre4nikov [31]

<h2>The product of the rational expressions $\dfrac{7x}{x-4}.\dfrac{x}{x+7} = \dfrac{7x^2}{x^2+3x-28}$ .</h2>

Step-by-step explanation:

We have,

$\dfrac{7x}{x-4}.\dfrac{x}{x+7}$

To find, the product of the rational expressions $\dfrac{7x}{x-4}.\dfrac{x}{x+7}$ = ?

∴ $\dfrac{7x}{x-4}.\dfrac{x}{x+7}$

= $\dfrac{7x.x}{(x-4)(x+7)}$

= $\dfrac{7x^2}{(x(x+7)-4(x+7)}$

= $\dfrac{7x^2}{x^2+7x-4x-28}$

= $\dfrac{7x^2}{x^2+3x-28}$

Thus, the product of the rational expressions $\dfrac{7x}{x-4}.\dfrac{x}{x+7} = \dfrac{7x^2}{x^2+3x-28}$ .

7 0

3 years ago