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3 years ago

Write an equation for a line to pass through the point (2,3) and has a slope of -4

Mathematics

1 answer:

antiseptic1488 [7]3 years ago

6 0

Answer:

y = -4x + 11

Step-by-step explanation:

Equation of a line is

y - y_1 = m ( x - x _1)

We are provided

Slope = m = -4

Points = (x _1 , y_1) = (2, 3)

Insert the values

y - y_1 = m( x - x_1)

y - 3 = -4(x - 2)

Open the bracket with -4

y - 3 = -4x + 8

y - 3 -8 = -4x

y - 11 = -4x

Following this equation of a line

y = mx + C

y - intercept point y

m - slope

x - intercept point x

C - intercept of the line

y - 11 = -4x

y = -4x + 11

Therefore, the equation of the line is

y = -4x + 11

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Use the equation and type the ordered-pairs. y = log 3 x {(1/3, a0), (1, a1), (3, a2), (9, a3), (27, a4), (81, a5)

vagabundo [1.1K]

Answer:

Considering the given equation $y = log_{3}x\\$

And the ordered pairs in the format $(x, y)$

I don't know if it is log of base 3 or 10, but I will assume it is 3.

For $(\frac{1}{3}, a_{0} )$

$x=\frac{1}{3}$

$y=a_{0}$

$y = log_{3}x\\y = log_{3}(\frac{1}{3} )\\y=-\log _3\left(3\right)\\y=-1$

So the ordered pair will be $(\frac{1}{3}, -1 )$

For $(1, a_{1} )$

$x=1$

$y=a_{1}$

$y = log_{3}x\\y = log_{3}1\\y = log_{3}(1)\\Note: \log _a(1)=0\\y = 0$

So the ordered pair will be $(1, 0 )$

For $(3, a_{2} )$

$x=3$

$y=a_{2}$

$y = log_{3}x\\y = log_{3}3\\y = 1$

So the ordered pair will be $(3, 1 )$

For $(9, a_{3} )$

$x=9$

$y=a_{3}$

$y = log_{3}x\\y = log_{3}9\\y=2\log _3\left(3\right)\\y=2$

So the ordered pair will be $(9, 2 )$

For $(27, a_{4} )$

$x=27$

$y=a_{4}$

$y = log_{3}x\\y = log_{3}27\\y=3\log _3\left(3\right)\\y=3$

So the ordered pair will be $(27, 3 )$

For $(81, a_{5} )$

$x=81$

$y=a_{5}$

$y = log_{3}x\\y = log_{3}81\\y=4\log _3\left(3\right)\\y=4$

So the ordered pair will be $(81, 4 )$

4 0

3 years ago

C = ? Be sure to evaluate the square root

Butoxors [25]

Hope this will help u .

If my ans was helpful, u can follow me.

4 0

3 years ago

It's from the chapter : "exponents and powers" i need the workings too please help

labwork [276]

Answer:

505/19

Step-by-step explanation:

Easy

so [3^3-(1/2)^(-3)*(1/19)]

simplify

3^3-8/19

3^3=27

27-8/19

convert element to fraction

(27*19)/19-8/19

combine

(27*19-8)/19

505/19

Have a wonderful day ask me if you have more questions about MATH that goes for anyone who needs math help

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3 years ago

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2 years ago

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marshall27 [118]

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