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3 years ago

Finding Slope, please help

Mathematics

1 answer:

Leno4ka [110]3 years ago

3 0

Answer:

y = 1/3x - 1

Step-by-step explanation:

Given the slope of 1/3, and the point (-3, -2): we can plug these values into the slope-intercept form, y = mx + b where:

m = slope

b = y-coordinate of the y-intercept, (0, b)

y = mx + b

-2 = 1/3(-3) + b

-2 = -1 + b

Add 1 to both sides to solve for b:

-2 + 1 = -1 + 1 + b

-1 = b

The y-intercept is b = -1.

Therefore, given the slope, m = 1/3, and y-intercept, b = -1:

the linear equation in slope-intercept form is:

y = 1/3x - 1

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Answer:

17 seeds remain

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2 years ago

How to graph 3 ordered pairs

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3 years ago

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Victoria recently switched to a new electric company. If she uses between 0 and 400 kilowatt-hours (kWh) of electricity per mont

Gekata [30.6K]

Answer:

see the explanation

Step-by-step explanation:

The question is

Identify the domain and the range, using words and inequalities

Let

x -----> the number of kilowatt-hours (kWh) of electricity per month

y ----> the price per month

we know that

Part 1) For the value of x between 0 kWh and 400 kWh

$0\ kWh \leq x < 400\ kWh$

The price is equal to

$y=\$30$

therefore

The domain is the interval ------> [0,400)

The domain is all real numbers greater than or equal to 0 kWh and less than 400 kWh

The range is ($30)

The range is equal to $30

Part 2) For the value of x equal to 400 kWh or more per month

$x\geq 400\ kWh$

The domain is the interval -----> [400, infinite)

The domain is all real numbers greater than or equal to 400 kWh

The price is

$y=0.097x$

Find the range

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3 years ago

Tomas is making trail mix using granola and walnuts. He can spend a total of $12 on the ingredients. He buys 3 pounds of granola

Artist 52 [7]

Answer:

Tomas added 6 to both sides of the equation instead of subtracting 6.

Step-by-step explanation:

Tomas is making trail mix using granola and walnuts. He can spend a total of $12 on the ingredients. He buys 3 pounds of granola that costs $2.00 per pound. The walnuts cost $6 per pound. He uses the equation 2x + 6y = 12 to represent the total cost, where x represents the number of pounds of granola and y represents the number of pounds of walnuts. He solves the equation for y, the number of pounds of walnuts he can buy.

Given:

2x + 6y = 12

where

x = number of pounds of granola y = number of pounds of walnuts

The correct solution to the problem

x = 3 pounds

2x + 6y = 12

2(3) + 6y = 12

6 + 6y = 12

Subtract 6 from both sides

6 + 6y - 6 = 12 - 6

6y = 6

Divide both sides by 6

y = 6/6

= 1

y = 1 pound

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4 years ago

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