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2 years ago

Slope = -1/3 passing through (4,-9) Point- slope form and slope-intercept form

Mathematics

2 answers:

HACTEHA [7]2 years ago

7 0

Answer:

Point Slope Form: y + 9 = -1/3(x - 3)

Slope-Intercept: y = -1/3x - 8

Step-by-step explanation:

Point Slope Form: (y - y1) = m(x - x1)

Slope-intercept Form: y = mx + b

Step 1: Use point slope form

(y - (-9)) = -1/3(x - 3)

Answer: Point Slope Form: y + 9 = -1/3(x - 3)

Step 2: Use point slope to get slope intercept

y + 9 = -1/3(x - 3)

y + 9 - 9 = -1/3x + 1 - 9

y = -1/3x - 8

Answer: Slope-Intercept: y = -1/3x - 8

AleksandrR [38]2 years ago

6 0

Answer:

-9=-1/3-13 is it in slope intercept form, look up ones to put it in different forms

Step-by-step explanation:

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The air temperature is -6 degrees celsius every hour for several hours. The air temperature after x hours is represented by the

andreyandreev [35.5K]

Answer:

x-intercept is (2,0) [The x-intercept means that it takes 2 hours for the temperature to reach 0°C]

y-intercept is (0, -6) [The y-intercept represents the temperature at sunrise, -6°C]

Step-by-step explanation:

Complete Question:

The air temperature is -6 degrees celcius at sunrise and rises 3 degree celcius every hour for several hours. The air temperature after x hours is represented by the function f(x) = 3x - 6. Find the x-intercept and y-intercept and interpret their meaning.

The x-intercept is the x-axis cutting point found by setting y = 0 [function = 0]
The y-intercept is the y-axis cutting point found by setting x = 0

Lets find x-intercept first:

f(x) = 3x - 6

0 = 3x - 6

3x = 6

x = 6/3

x = 2

x-intercept is (2,0)

Now, lets find y-intercept:

f(x) = 3x - 6

f(x) = 3(0) - 6

f(x) = -6

y-intercept is (0, -6)

The x-intercept means that it takes 2 hours for the temperature to reach 0°C

The y-intercept represents the temperature at sunrise, -6°C

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3 years ago

For the following system, if you isolated x in the first equation to use the Substitution Method, what expression would you subs

tatiyna

$-x-2y=-4 \\ 3x+y=12 \\ \\ \hbox{the first equation:} \\ -x-2y=-4 \ \ \ \ \ \ |+2y \\ -x=2y-4 \ \ \ \ \ \ \ \ |\times (-1) \\ x=-2y+4$

The expression you would substitute for x is -2y+4. The answer is d.

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3 years ago

By which smallast number must the following number be divided so that the quotient is a perfect cube

jenyasd209 [6]

Answer:

Step-by-step explanation:

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What is the slope of the line that contains the points (-1, 8) and (2, -4)

Reptile [31]