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kogti [31]
3 years ago
12

Write the equation of a line that safely lands the plane. Press submit to see if the plane lands safely.

Mathematics
1 answer:
Colt1911 [192]3 years ago
4 0

Answer:

y = \frac{3}{4}x - \frac{1}{4}

Step-by-step explanation:

First, find the slope using the points (3, 2) and (-1, -1):

Slope = m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{-1 - 2}{-1 - 3} = \frac{-3}{-4} = \frac{3}{4}

Find the y-intercept, b, by substituting x = -1, y = -1 and m = ¾ in y = mx + b.

-1 = ¾(-1) + b

-1 = -¾ + b

Add ¾ to both sides

-1 + ¾ = b

(-4 + 3)/4 = b

-¼ = b

Substitute m = ¾ and b = -¼ in y = mx + b.

The equation would be:

✅y = \frac{3}{4}x - \frac{1}{4}

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==============================================================

Explanation:

Angle y and the 25 degree angle are corresponding angle. Because the lines are parallel, this means that y = 25

Check out the attached image. Using a red pen, I extended one of the lines to form a triangle. From the alternate interior angle theorem, we know that one of the angles of the triangle is 75 degrees (alternate interior angles are congruent). Again this stems from the fact that the lines are parallel.

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