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3 years ago

FIFTY POINTS! PLS HELP QUICK!! the equation of a line that passes through (4,-5) and (0,-3).

Mathematics

2 answers:

lina2011 [118]3 years ago

7 0

Hello there! Your answer would be y = 0.5x - 3.

To find the equation, use slope intercept form, y = mx + b. (m = slope, b = y intercept)

For the slope, solve by subtracting the y values over the x values.

- 5 - - 3 / 0 - 4

- 2 / - 4

The negatives cancel out, and you are left with 0.5 as your slope. Plug that into m.

y = 0.5x + b

Now to find the y intercept. To do this, we can replace the x and y values into the equation and solve for b.

-5 = 0.5(4) + b

-5 = 2 + b

- 3 = b

so, the y intercept has a value of -3. Plug that in to the final equation.

y = 0.5x - 3

Hope this helps and have a great day!

topjm [15]3 years ago

4 0

Answer:

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

Step-by-step explanation:

When 2 points are given, we can use the point slope formula for a line to get the equation.

Point-Slope Form of a line: $y-y_{1}=m(x-x_{1})$

Where,

$(x_{1},y_{1})$ is point 1 and $(x_{2},y_{2})$ is point 2
m is the slope and given by $m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

Using the 2 points given and the formulas shown, we can write:

$y-(-5)=m(x-4)\\y+5=\frac{-3-(-5)}{0-4}(x-4)\\y+5=-\frac{2}{4}(x-4)\\y+5=-\frac{1}{2}(x-4)\\y+5=-\frac{1}{2}x+2\\y=-\frac{1}{2}x+2-5\\y=-\frac{1}{2}x-3$

Hence, $y=-\frac{1}{2}x-3$ is the equation of the line.

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A 13foot lader i upagenst a tree the bottom of the ladder is 5 feet away form the tree how high is the ladder on the tree

SCORPION-xisa [38]

Think of the 13-ft length of the ladder as the hypotenuse of a right triangle. Represent the horiz. distance from foot of ladder to base of tree by x, or 5 ft.

Represent the vert. dist. from base of tree to top of ladder by y, which is unknown.

Then (13 ft)^2 = (5 ft)^2 + y^2, or

169 ft^2 = 25 ft^2 + y^2. This simplifies to y^2 = 144. Thus y = + 12 feeet.

Note: Please pay attention to your spelling: "lader i up agenst a tree" should be "the top of a 13-ft ladder is placed against a tree."

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3 years ago

Suppose that you are conducting a survey on how many students have blue eyes in each first period classroom at Garfield Middle s

rusak2 [61]

Answer:

The correct statement is the first one: The number of blue-eyed students in Mr. Garcia's class is 2 standard deviations to the right of the mean

Explanation:

To calculate how many standard deviations a particular value in a group is from the mean, you can use the z-score:

$z-score=(x-\mu )/\sigma$

Where:

$z-score$ is the number of standard deviations the value of x is from the mean

$\mu$ is the mean

$\sigma$ is the standard deviation

Substitute in the formula:

$z-score=(10-6)/2=4/2=2$

Which means that the number of blue-eyed students in Mr. Garcia's class is 2 standard deviations above the mean.

Above the mean is the same that to the right of the mean, because the in the normal standard probability graph the central value is Z = 0 (the z-score of the mean value is 0), the positive values are to the right of the central value, and the negative values are to the left of the central value.

Therefore, the correct statement is the first one: The number of blue-eyed students in Mr. Garcia's class is 2 standard deviations to the right of the mean,

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3 years ago

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frez [133]

The answer is C. C is not a proportion.

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3 years ago

Read 2 more answers

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Minchanka [31]

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