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2 years ago

Write an equation of a line in slope intercept form that is parallel to the line x + 4y = 6 and passes through (-8, 5)

1 answer:

3 0

If the line is parallel, then their slope would be equal.
4y = -x + 6
y = -1/4 x + 3/2

Compare it with, y = mx + b
m = -1/4 [ Slope ]

Now, y - y1 = m(x - x1)
y - 5 = -1/4 (x + 8)
y - 5 = -1/4x - 2
y = -1/4x + 3

In short, Your Answer would be: y = -1/4x + 3

Hope this helps!

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Determine the solution to f(x) = g(x) using the following system of equations: f(x) = 3x + 12 g(x) = -9.5x - 13

Anit [1.1K]

Answer:

x=2

Step by step:
f(x)=g(x)

3x+12= -9.5x-13 simplifies to the equation below

3x+9.5x= -13-12

12.5x= -25
next, divide by 12 on both sides to isolate the variable, x.

12.5x/12 = -25/12

x=-2

to check: 3(-2)+12= -95x(-2)-13
-6+12= 19-13
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2 years ago

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vlabodo [156]

Answer:

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Step-by-step explanation:

You would first multiply 14 by 2. You would then multiply (which is really addition when it comes to exponents) your like-term exponents.

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2 years ago

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How many terms are in the binomial expansion of (3x + 5)9? 8 9 10 11

Stells [14]

The number of terms in the binomial expansion of (3x-5)^9 is 10

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Sholpan [36]

Answer:

The equation of the line in slope-intercept form is:

$y\:=\:\frac{-10}{7}x-\frac{45}{7}$

Step-by-step explanation:

Given the points

(-8, 5)

(-1, -5)

Finding the slope

$\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}$

$\left(x_1,\:y_1\right)=\left(-8,\:5\right),\:\left(x_2,\:y_2\right)=\left(-1,\:-5\right)$

$m=\frac{-5-5}{-1-\left(-8\right)}$

$m=-\frac{10}{7}$

We know the slope-intercept form of the line equation is

$y = mx+b$

where m is the slope and b is the y-intercept

substituting m = -10/7 and (-8, 5) in the slope-intercept form to determine the y-intercept

$5\:=\:\frac{-10}{7}\left(-8\right)+b$

$\frac{80}{7}+b=5$

$b=-\frac{45}{7}$

now substituting m = -10/7 and b = -45/7 in the slope-intercept form

$y = mx+b$

$y\:=\:\frac{-10}{7}x+\left(-\frac{45}{7}\right)$

$y\:=\:\frac{-10}{7}x-\frac{45}{7}$

Thus, the equation of the line in slope-intercept form is:

$y\:=\:\frac{-10}{7}x-\frac{45}{7}$

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2 years ago

A town has accumulated 22 inches of snow, and the snow depth is increasing by 66 inches every hour. A nearby town has accumulat

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Create an expression. Solve for x

22+66x=66+33x
Subtract 33x from both sides
22+33x=66
Subtract 22 from both sides
33x=44
Divide both sides by 33
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