Mathematics, 11.01.2021 09:30 nehakarakkattu

Write the equation of the line in slope intercept form that passes through the point (-3, 5) and is parallel to y= - 2/3x

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Answer from: haydenbell269

$\displaystyle y=-\frac{2}{3}x+3$

Step-by-step explanation:

We want to find the equation of the line that is parallel to:

$\displaystyle y=-\frac{2}{3}x$

And passes through (-3,5).

First, we need to determine the slope of our new line.

Remember that parallel lines have the same slope.

Since the slope of our original line is -2/3, this means that the slope of our new line must also be -2/3.

Now, we can use the point-slope form given by:

y-y_1=m(x-x_1)

We will let (-3, 5) be (x₁, y₁). By substitution:

$\displaystyle y-(5)=-\frac{2}{3}(x-(-3))$

Simplify:

$\displaystyle y-5=-\frac{2}{3}(x+3)$

Distribute:

$\displaystyle y-5=-\frac{2}{3}x-2$

Add 5 to both sides. So, our equation is:

$\displaystyle y=-\frac{2}{3}x+3$

Answer from: heathhm60541

$\displaystyle y = -\frac{2}{3}x + 3$

Step-by-step explanation:

5 = –⅔[–3] + b

$\displaystyle 3 = b \\ \\ y = -\frac{2}{3}x + 3$

Parallel equations have SIMILAR RATE OF CHANGES [SLOPES], so –⅔ remains as is.

I am joyous to assist you at any time.

Answer from: Quest

the rocket cannot penetrate the ground, in a contextual sense, therefore the roots of this equation should be the domain of this function. i'll let you find the roots of this quadratic equation (hint: use the quadratic formula:

1- c

2-a

step-by-step explanation:

mark brainliest!

The graph below represents the height in meters of a toy rocket t seconds after it was launched upwa

Answer from: Quest

1. sometimes

2. never

3 .08c = 7.50+.05c 250 pages

step-by-step explanation:

1. sometimes

the theoretical probability of rolling a 1 is 1/6. perhaps you got really lucky and never rolled a 1 in those 60 times. your experimental probability is 0. or perhaps you rolled a 1 20 times. your experimental probability is 20/60 is 1/3. it really just depends on how you rolled in that experiment.

2. never

the probability of the event occurring is 1. that is being 100 % sure it will happen. that is the maximum amount of confidence we have.

3. no customer card cost: .08 times number of pages

customer card cost: 7.50 + .05 times number of pages

we want to find when it costs the same amount, so we will set these equal

let c = number of pages

.08c = 7.50+.05c

subtract .05c from each side

.08c-.05c = 7.5+.05c-.05c

.03c=7.5

divide each side by .03

.03c/.03 = 7.5/03

c =250

the cost is the same at 250 pages

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Write the equation of the line in slope intercept form that passes through the point (-3, 5) and is...

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