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sergij07 [2.7K]
1 year ago
14

What is the Y-Intercept of the line that has a slope of -4 and passes through the point (4,-6)

Mathematics
2 answers:
svlad2 [7]1 year ago
8 0
The y intercept is the y intercept which is 2
IrinaVladis [17]1 year ago
6 0

Answer:

Y-intercept = 22

Step-by-step explanation:

The equation of a line in slope-intercept format is given by the equation y=mx+c

where m is the slope and c the y-intercept.

(The y-intercept is the value of y when x = 0)

Slope given as -4

And we know it passes through the point(4,6) ie at x=4, y =6

Substitute in above equation to get value of c, the y-intercept

6 = -4(4) + c

6 = -16 + c

c = 22

And this is the y-intercept

The equation of the line is y = -4x + 22

See attached figure for graph

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The following box plot represents the average heights of the students in Mrs. Hill's sixth grade math class.
Svetllana [295]

Answer:

Step-by-step explanation:

Half of the students in Mrs. Hill's class are between 147 centimeters and 154 centimeters tall. (correct)

The median height of the students in Mrs. Hill's class is 152 centimeters. (correct)

The interquartile range of this data set is 15 centimeters.  (incorrect, 154-147=17 cm)

The mean height of the students in Mrs. Hill's class is 152.5 centimeters.  (we don't get to know the mean height from the graph).

6 0
3 years ago
Read 2 more answers
One number is 3 more than another. The product of the number is 54 . Find the numbers.
Mice21 [21]

Answer:

6 and 9

Step-by-step explanation:

set up an equation and solve for x

(x+3) * x = 54

easiest way to to try some numbers.

if you know your multiplication tables...

what two number multiplied together are 54

be sure the numbers you are thinking of meet the rules

is one 3 more than the other

do they multiply together to get 54

6 0
3 years ago
What is an equation of the line that passes through the point (-6,-8) and is parallel to the line x-2y=6?
vfiekz [6]

Answer:

y=\frac{1}{2}x-5

Step-by-step explanation:

Hi there!

<u>What we need to know:</u>

  • Linear equations are typically organized in slope-intercept form: y=mx+b where m is the slope and b is the y-intercept (the value of y when the line crosses the y-axis)
  • Parallel lines always have the same slope and different y-intercepts

<u>1) Determine the slope (m)</u>

x-2y=6

Rearrange this equation into slope-intercept form (this will help us find the slope)

Subtract x from both sides

x-2y-x=6-x\\-2y=-x+6

Divide both sides by -2

y=\frac{1}{2} x-3

Now, we can identify clearly that the slope of the given line is \frac{1}{2} since it's in the place of m. Because parallel lines always have the same slopes, the line we're currently solving for would therefore have a slope of \frac{1}{2} as well. Plug this into y=mx+b:

y=\frac{1}{2}x+b

<u>2) Determine the y-intercept (b)</u>

y=\frac{1}{2}x+b

Plug in the given point (-6,-8)

-8=\frac{1}{2}(-6)+b\\-8=-3+b

Add 3 to both sides to isolate b

-8+3=-3+b+3\\-5=b

Therefore, the y-intercept is -5. Plug this back into y=\frac{1}{2}x+b:

y=\frac{1}{2}x-5

I hope this helps!

7 0
3 years ago
What is the circumference of a circle with a diameter of 11 centimeters
Fittoniya [83]

Answer:

c = 2\pi \: r \\ c = 2\pi \times 11 \\ c = 22\pi \: or \: c = 69.08

Good luck!

Intelligent Muslim,

From Uzbekistan.

7 0
3 years ago
Read 2 more answers
Aevery collects cans for recycling when he has a 1,000 cans, the recycling center will pick them up from the house Aevery has 80
Anarel [89]
   80
*  40
3100, I would say yes because you have more than 1,000 cans in all the bags together.

6 0
3 years ago
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