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2 years ago

Find the coordinates of the midpoint of a segment with the endpoints (16,5) & (28,-13)

1 answer:

7 0

$\text{The formula of the midpoint of a segment with the end points:}\\\\A(x_A;\ y_A)\ \text{and}\ B(x_B;\ y_B)\\\\M_{AB}=\left(\dfrac{x_A+x_B}{2};\ \dfrac{y_A+y_B}{2}\right)$

$\text{We have:}\\A(16;\ 5)\to x_A=16;\ y_A=5\\B(28;\ -13)\to x_B=28;\ y_B=-13\\\\\text{substitute:}\\\\M_{AB}=\left(\dfrac{16+28}{2};\ \dfrac{5+(-13)}{2}\right)=\left(\dfrac{44}{2};\ \dfrac{-8}{2}\right)=(22;\ -4)$

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The roof of a barn rises vertically 2.5 meters through the horizontal distance of 10 meters. What is the pitch (slope) of the ro

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Answer:

The pitch (slope) of the roof is $0.25$ or $25\%$

Step-by-step explanation:

we know that

The formula to calculate the slope is equal to

$m=\frac{y2-y1}{x2-x1}$

where

In this problem we have

${y2-y1}=2.5\ m$ -----> is the vertical distance (rises)

${x2-x1}=10\ m$ -----> is the horizontal distance (run)

substitute the values

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3 years ago

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2 years ago

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What the equation parallel to y=-1/5x +7 and containing the point(-10,-3)

Agata [3.3K]

The equation of line parallel to $y=-\frac{1}{5} x +7$ and containing the point(-10,-3) is $y=-\frac{1}{5}x-5$

Step-by-step explanation:

We need to write the equation parallel to $y=-\frac{1}{5} x +7$ and containing the point(-10,-3)

The standard form of point slope equation is:

$y=mx+b$

where m is slope and b is y-intercept

Comparing the given equation $y=-\frac{1}{5} x +7$ with standard form the slope is m= -1/5

Since the lines are parallel the slope of new line is m = -1/5

Now finding b (y-intercept)

Using slope m=-1/5 and point (-10,-3)

$y=mx+b\\-3=-\frac{1}{5}(-10)+b\\-3=2+b\\b=-3-2\\b=-5$

So, b= -5 and slope = -1/5 the equation of new line is:

$y = mx+b\\y=-\frac{1}{5}x-5$

So, The equation of line parallel to $y=-\frac{1}{5} x +7$ and containing the point(-10,-3) is $y=-\frac{1}{5}x-5$

Keywords: Point Slope form

Learn more about point slope form at:

#learnwithBrainly

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2 years ago

Please help guys I’m really struggling

tatiyna

Answer: y = -4x - 4

Step-by-step explanation:

Point slope form: y - y1 = m(x - x1)

Plug in y1 and x1, and m. M is the slope, x1 and y1 are the values for a coordinate. You don't need to plug anything in for y or x, just y1 and x1.

First, find the slope. To find the slope, use this "formula" : $slope=\frac{rise}{run} =\frac{y1-y2}{x2-x1}$

Find two coordinate points. Let's use (-2,4) and (0,-4). Based on this, we know that y1 is 4, y2 is -4, x1 is -2, and x2 is 0. Plug these into the formula:

$\frac{4--4}{-2-0} =\frac{4+4}{-2} =\frac{8}{-2}=-4$

Then, pick any point to plug into the equation. Let's use (0,-4)

Finally, plug everything into the equation:

y - - 4 = -4(x - 0)

y + 4 = -4x

y = -4x - 4

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