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3 years ago

Which equation is in slope-intercept form and represents a line with slope 0 through the point (2, 3)?

1 answer:

4 0

Y = mx + b
slope(m) = 0
(2,3)...x = 2 and y = 3
now u sub
3 = 0(2) + b
3 = b

equation is : y = 0x + 3...or just simply, y = 3

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Write your answer with no space and any fraction with “/“

nirvana33 [79]

Answer:

y+3=2(x-1)

Step-by-step explanation:

Point-slope form is $y-y_1 = m (x-x_1)$ . In order to write a linear equation using this form, the $y_1$ , $x_1$ and $m$ must be substituted by real numbers.

The $m$ represents the slope of the equation. We know that the answer has to be parallel to the line y=2x-1. y=2x-1 is already in slope-intercept form, or $y=mx+b$ , in which $m$ represents the slope. We can see that the $2$ is in place of that $m$ , therefore 2 is the slope of y=2x-1. Lines that are parallel have the same slope, so we know that the slope of the new equation must be 2 as well.

The $x_1$ and $y_1$ represent the x and y values of one point that the line passes through. We know that the new equation must pass through the point (1, -3), so we'll substitute 1 in place of the $x_1$ and -3 in place of the $y_1$ .

Substituting for those three values will give you an equation like this, therefore it is the answer:

$y-(-3)= 2(x-(1))$

$y+3= 2(x-1)$

4 0

3 years ago

Write a list of 6 ordered pairs to show the height of the candle in inches (y) as a function of time in hours (x) from the first

Bumek [7]

A function assigns the values. The list of 6 ordered pairs to show the height of the candle inches are (1,8.5), (1,8), (1,7.5), (1,7), (1,6.5), and (1,6).

<h3>What is a Function?</h3>

A function assigns the value of each element of one set to the other specific element of another set.

The rate at which the candle burns down is 0.5 inches per hour. Now, if we substitute the value of the point (0,9) in the function of a line, and the rate as well, we will get,

y = mx +c

9 = -0.5(0) + c

c = 9

Now, the equation that can represent the height of the candle at any hour after it is lit will be,

y= -0.5x+9

substitute the value of x as 1, 2, 3, 4, 5, and 6 to get the value of y and form ordered pairs.

y=-0.5(1)+9 = 8.5 inches ⇒ (1,8.5)
y=-0.5(2)+9 = 8 inches ⇒ (1,8)
y=-0.5(3)+9 = 7.5 inches ⇒ (1,7.5)
y=-0.5(4)+9 = 7 inches ⇒ (1,7)
y=-0.5(5)+9 = 6.5 inches ⇒ (1,6.5)
y=-0.5(6)+9 = 6 inches ⇒ (1,6)

Hence, the list of 6 ordered pairs to show the height of the candle inches are (1,8.5), (1,8), (1,7.5), (1,7), (1,6.5), and (1,6).

Learn more about Function:

brainly.com/question/5245372

#SPJ1

8 0

1 year ago

Giving brainliest!!!! please help!!

liberstina [14]

Answer:

{4, 5 }

Step-by-step explanation:

Solve the inequality

n + 1 > 4 ( subtract 1 from both sides )

n > 3

The set of values that make the inequality true is { 4, 5 }

8 0

3 years ago

The average lateness for one of the top airline companies is 10 minutes. The variance of the lateness measure is calculated as 9

Soloha48 [4]

Answer:

The z score for the airplane arriving 13 minutes after arrival time is 0.33

Step-by-step explanation:

Using normal distribution,

The average lateness for one of the top airline companies is 10 minutes. So our mean, u = 10

The variance, s of the lateness measure is calculated as 9.

x =13 which stands for arrival time.

Using normal distribution,

z = (x - u)/s

z = (13 - 10)/9 = 3/9 = 0.33

The z score for the airplane arriving 13 minutes after arrival time is 0.33. The probability value of the z score can be found by looking at the Normal distribution table

6 0

3 years ago

Six more than three times a number is less than or equal to 69

Reika [66]

The answer would be less. Hope this helps. :)

5 0

3 years ago