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2 years ago

The slope of the line below is -3. Use the coordinates of the labeled point to find a point-slope equation of the line.

1 answer:

8 0

Answer:
y-y₁ = -3(x-x₁)

First of all, when you start an equation with a slope, since the question gave the slope -3, I'm not sure what your looking for, but I'll give you an example

Example:
y-y₁ = m(x-x₁)
m = -3
y₁ = ? - I'll just put a random # = -1
x₁ = ? - I'll just put a random # = 5
y-(-1) = (-3)(x-(5))
y+1 = -3x+15 - I'm guessing

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The equation of a given circle in general form is x^2+y^2-8x+12y+27=0. Write the equation in standard form, (x-h)^2+(y-k)^2=r^2,

umka2103 [35]

Answer:

(x - 4)² + (y + 6)² = 5²

Step-by-step explanation:

rearrange the general equation as follows

collect the terms in x and y together and place the constant on the right side

x² - 8x + y² + 12y = - 27

add (half the coefficient of the x/y term)² to both sides

x² + 2(- 4)x + y² + 2(6)y = - 27

(x - 4)² + 16 + (y + 6)² + 36 = - 27 + 16 + 36

(x - 4)² + (y + 6)² = 25

(x - 4)² + (y + 6)² = 5² ← in standard form

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2 years ago

C= 44+(p-1)(32)/2 what is p?

Vilka [71]

Answer: $\bold{p=\dfrac{c-28}{16}}$

Step-by-step explanation:

$c=44+\dfrac{(p-1)(32)}{2}\\\\c=44+(p-1)(16)\quad \rightarrow\quad \text{simplified}\ (32\div2=16)\\\\c=44+16p-16\quad \rightarrow\quad \text{distributed 16 into p - 1}\\\\c=28+16p\quad \rightarrow\quad \text{added like terms (44 - 16)}\\\\c-28=16p\quad \rightarrow\quad \text{subtracted 28 from both sides}\\\\\dfrac{c-28}{16}=p\quad \rightarrow\quad \text{divided 16 from both sides}$

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3 years ago

I need an equation for the line parallel to the given line that contains C. Thanks so much!

gulaghasi [49]

I hope this helps you

5 0

3 years ago

Read 2 more answers

(giving 100 points) What is the equation of the line of best fit for the following data? Round the slope and y-intercept of the

melisa1 [442]

Answer:

Slope-intercept form of a linear equation: $y=mx+b$

where:

$m$ is the slope
$b$ is the y-intercept

To determine the equation of the line of best fit from the given answer options, examine the relationship between the x and y values.

From inspection of the data, we can see that as x increases, y increases. Therefore, the slope of the equation will be positive.

(If the y-values decrease as the x-values increase, then the slope would be negative).

Therefore, we can immediately discount answer options B and D as they have negative slopes.

The x and y values are not very far away from each other. The options given for the slope are either 1.560 or 4.105. If the slope was 4.105, we would expect to see values of y that were further away from the x-values.

Therefore, the line of best fit is:

A: y = 1.560x - 4.105

To prove this, plot the 5 points on a graph and draw a line of best fit (see attached).

Choose 2 points on the line of best fit: (4, 2) and (11, 13)

Use the slope formula with these points to calculate the approximate slope:

$\implies \sf slope\:(m)=\dfrac{change\:in\:y}{change\:in\:x}\approx\dfrac{13-2}{11-4}=\dfrac{11}{7}=1.57$

Thus proving that y = 1.560x - 4.105 is an appropriate option for the equation of the line of best fit.

7 0

1 year ago

Please help me please

maxonik [38]

Answer:

Step-by-step explanation:

Hopefully this helps

8 0

2 years ago