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3 years ago

14

The slope-intercept form of a linear equation is y = mx + b, where x and y are coordinates of an ordered pair, m is the slope of

the line, and b is where the line crosses the y-axis.
Which is an equivalent equation solved for the slope, m?

1 answer:

navik [9.2K]3 years ago

7 0

Y=mx+b
minus b both sides
y-b=mx
divide both sides by x
(y-b)/x=m
m=(y-b)/x

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Slope of -3 and y intercept 7 in slope-intercept form.

RUDIKE [14]

Y = mx + b, m = slope and b = y-intercept

Thus the answer is y = -3x + 7

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3 years ago

In a small town 68% of the people owned television 72% on radio and 12% owned neither television nor radio (1)represent the info

Naddika [18.5K]

Answer:

1.)

The Venn diagram is in the attachment

2).

percentage of the population that owns only television== 16%

Step-by-step explanation:

The Venn diagram Is represented in the attached photo.

Let's call The total people x

X = people that own only television+ people that own only radio+ people that own both television and radio+ people that own neither the two.

X= (0.68x -y) +(y) +(0.72x-y)+(0.12x)

X= 0.68x-y+y+0.72x-y+0.12x

X= 1.52x-y

Y= 1.52x-x

Y= 0.52x

People that own both= 52%

people that own only television

= (0.68x -y)

= 0.68x-0.52x

= 0.16x

percentage of the population that owns only television= 0.16*100

percentage of the population that owns only television= 16%

4 0

4 years ago

The box office manager said about 5,000 people attended the show. Write a number that could be the actual attendance if he corre

IRINA_888 [86]

<span>In the given mathematical value of 5,000 to round off this number to the nearest hundred, we can elaborate the number values using the expanded form to clearly see the order position: </span><span><span>1. </span> 5,000 = thousands
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</span><span />

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3 years ago

Read 2 more answers

The weights of 1250 pumpkins are normally distributed with mean of 28 pounds and a standard deviation of 6 pounds. About how man

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Kropot72
kropot72 3 years ago
This can be solved by using a standard normal distribution table. The z-score for 34 pounds is 1, the reason being that 34 is one standard deviation above the mean of 28 pounds.
Can use the table to find the cumulative probability for z = 1.00 and post the result? If you do this we can do the next simple steps.

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3 years ago

Write the equation of the line that is the perpendicular bisector of the segment with endpoints (4, 1) and (2, -5)

Sedbober [7]

Answer: $\bold{y=-\dfrac{1}{3}x-1}$

<u>Step-by-step explanation:</u>

(4, 1) & (2, -5)

First, find the slope (m) and then the perpendicular (opposite reciprocal) slope:

$m=\dfrac{y_2-y_1}{x_2-x_1}\\\\\\m=\dfrac{-5-1}{2-4} = \dfrac{-6}{-2}=3\quad \rightarrow \quad m_{\perp}=-\dfrac{1}{3}\\$

Next, find the midpoint of (4, 1) and (2, -5):

$Midpoint=\bigg(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\bigg)\\\\\\.\qquad \qquad=\bigg(\dfrac{4+2}{2},\dfrac{1-5}{2}\bigg)\\\\\\.\qquad \qquad=\bigg(\dfrac{6}{2},\dfrac{-4}{2}\bigg)\\\\\\.\qquad \qquad=(3, -2)$

Lastly, input the perpendicular slope and the midpoint into the Point-Slope formula to find the equation of the line:

$y - y_1 = m_{\perp}(x - x_1)\\\\y - (-2) = -\dfrac{1}{3}(x - 3)\\\\y + 2=-\dfrac{1}{3}x +1\\\\y =-\dfrac{1}{3}x - 1\\$

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3 years ago