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3 years ago

find the equation for the line perpendicular to y=4/3x+1 with y-intercept 0,15 in slope-intercept form

Mathematics

1 answer:

drek231 [11]3 years ago

7 0

Answer:

y = (-3/4)x + 15

Step-by-step explanation:

The slope of the given line is 4/3. The slope of a line perpendicular to this given line is the negative reciprocal of 4/3, which comes out to -3/4.

Now that we have both the slope and y-intercept of the new line, we're ready to write out the desired equation in slope-intercept form:

y = (-3/4)x + 15

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A line has an equation of y = - 3x + 8. What is the y-intercept of the line? Please enter your answer as a coordinate (x, y). *

mina [271]

Answer:

(0, 8).

Step-by-step explanation:

The y intercept occurs when = 0, so we have the equation:

y = -3(0) + 8

y = 0 + 8

y = 8.

The answer is (0, 8).

6 0

3 years ago

One can convert temperature from Kelvin into Fahrenheit using the formula F=95(K−273)+32. What is the temperature in Kelvin corr

DiKsa [7]

Answer:

The temperature in Kelvin corresponding to F degrees Fahrenheit is $K=\frac{F-32}{95}+273$

Step-by-step explanation:

Given : One can convert temperature from Kelvin into Fahrenheit using the formula $F=95(K-273)+32$ .

To find : What is the temperature in Kelvin corresponding to F degrees Fahrenheit?

Solution :

Temperature from Kelvin into Fahrenheit is given by,

$F=95(K-273)+32$

Writing Kelvin in terms of Fahrenheit,

Subtract 32 both side,

$F-32=95(K-273)$

Divide by 95 both side,

$\frac{F-32}{95}=K-273$

Add 273 both side,

$\frac{F-32}{95}+273=K$

Therefore, The temperature in Kelvin corresponding to F degrees Fahrenheit is $K=\frac{F-32}{95}+273$

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