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4 years ago

Write an equation in slope intercept form. (2,8) (3,18):(0-3). slope= y intercept=

Mathematics

1 answer:

Alexeev081 [22]4 years ago

3 0

Answer:

y = 10x - 3

Step-by-step explanation:

We have the point (0, -3), which is the y-intercept. In slope-intercept form,

y = mx + b,

that is the b.

Now we find the slope between the other 2 points:

$\frac{18-8}{3-2}=10$

So m = 10. Therefore, the equation is

y = 10x - 3

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Answer:

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Step-by-step explanation:

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3 years ago

How do you simplify 4to the 4th power divided by 4to the 4th power

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Answer:

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Step-by-step explanation:

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4 years ago

Read 2 more answers

Solve.

abruzzese [7]

Answer:

$x=\frac{15}{4}=3\frac{3}{4}$

Equation:

$\frac{2}{3}x+\frac{5}{6} =\frac{10}{3}$

<h3>Step-by-step solution</h3>

Linear equations with one unknown

_____________________________________

1. Group all constants on the right side of the equation

$\frac{2}{3}\cdot x+\frac{5}{6}=\frac{10}{3}$

Subtract $5/6$ from both sides:

$\frac{2}{3}x+\frac{5}{6}-\frac{5}{6}=\frac{10}{3}-\frac{5}{6}$

Combine the fractions:

$\frac{2}{3}\cdot x+\frac{5-5}{6}=\frac{10}{3}-\frac{5}{6}$

Combine the numerators:

$\frac{2}{3}\cdot x+\frac{0}{6}=\frac{10}{3}-\frac{5}{6}$

Reduce the zero numerator:

$\frac{2}{3}\cdot x+0=\frac{10}{3}-\frac{5}{6}$

Simplify the arithmetic:

$\frac{2}{3}\cdot x=\frac{10}{3}-\frac{5}{6}$

Find the lowest common denominator:

$\frac{2}{3}\cdot x=\frac{10\cdot 2}{3\cdot 2}+\frac{-5}{6}$

Multiply the denominators:

$\frac{2}{3}\cdot x=\frac{10\cdot 2}{6}+\frac{-5}{6}$

Multiply the numerators:

$\frac{2}{3}\cdot x=\frac{20}{6}+\frac{-5}{6}$

Combine the fractions:

$\frac{2}{3}\cdot x=\frac{20-5}{6}$

Combine the numerators:

$\frac{2}{3}\cdot x=\frac{15}{6}$

Find the greatest common factor of the numerator and denominator:

$\frac{2}{3}\cdot x=\frac{5\cdot 3}{2\cdot 3}$

Factor out and cancel the greatest common factor:

$\frac{2}{3}\cdot x=\frac{5}{2}$

2. Isolate the x

$\frac{2}{3}\cdot x=\frac{5}{2}$

Multiply both sides by inverse fraction 3/2:

$\frac{2}{3}x\cdot \frac{3}{2}=\frac{5}{2}\cdot \frac{3}{2}$

Group like terms:

$\frac{2}{3}\cdot \frac{3}{2}x=\frac{5}{2}\cdot \frac{3}{2}$

Simplify the fraction:

$x=\frac{5}{2}\cdot \frac{3}{2}$

Multiply the fractions:

$x=\frac{5\cdot 3}{2\cdot 2}$

Simplify the arithmetic:

$x=\frac{15}{2\cdot 2}$

Simplify the arithmetic:

$x=\frac{15}{4}$

______________________

Why learn this

Linear equations cannot tell you the future, but they can give you a good idea of what to expect so you can plan ahead. How long will it take you to fill your swimming pool? How much money will you earn during summer break? What are the quantities you need for your favorite recipe to make enough for all your friends?

Linear equations explain some of the relationships between what we know and what we want to know and can help us solve a wide range of problems we might encounter in our everyday lives.

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Terms and topics

Linear equations with one unknown

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2 years ago

Use the function f(x) = 2 - 5x to fill in the blanks in the table. x f(x)

kvasek [131]

I will one only and you do the rest.

Let x = -2

Plug into given function.

f(-2) = 2 - 5(-2)

f(-2) = 2 + 10

f(-2) = 12

So, when x = -2, f(x) = 12.

Table:

x............ f(x)
-2 12
-1
0
1
2

Find the rest the same way.

5 0

3 years ago

The double number line shows that 3 back-to-school packages contain 36 pencils.

lord [1]

Answer:

The answer is A

Step-by-step explanation:

i just got it right

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4 years ago

Write an equation in slope intercept form. (2,8) (3,18):(0-3). slope= y intercept=​

Write an equation in slope intercept form. (2,8) (3,18):(0-3). slope= y intercept=