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astra-53 [7]
3 years ago
12

Which fraction shows a correct way to set up the slope formula for the line that passes through the points (4, -6) and (-2, 1)?

Mathematics
2 answers:
alexandr402 [8]3 years ago
6 0
Y +6 = -7/6 (x-4)



Mark brainliest please


Hope this helps you
AleksandrR [38]3 years ago
5 0
The answer is -7/6

first use the slope formula( y1-y2/x1-x2) to set up the equation. the y values on top, x value on bottom. and always subtract.
-6-1/ 4–2
then combine the numbers in the numerator together and the numbers in the denominator together. in this case you have two negatives between the 4 and the 2 so it becomes a plus sign
-7/4+2
-7/6
and then you have ur answer.
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Answer:

The coordinates of E are E(x,y) = \left(\frac{9}{2}, 0 \right).

Step-by-step explanation:

The triangle ABC represents a right triangle as both sides AB and AC are orthogonal to each other. The side AB is in the y axis, whereas the side AC is in the x axis. The triangle is dilated with respect to the origin, in which point A is set.

Vectorially speaking, dilation is defined by the following operation:

P'(x,y) = O(x,y) + k\cdot [P(x,y) - O(x,y)] (1)

Where:

O(x,y) - Point of reference.

P(x,y) - Original point.

P'(x,y) - Dilated point.

k - Dilation factor.

By applying this operation, point B becomes point D:

B(x,y) = (0,4), D(x,y) = (0,6)

D(x,y) = (0,0) + k\cdot [(0,4)- (0,0)]

D(x,y) = (0,0) + k\cdot (0,4)

(0,6) = (0,0) +(0,4\cdot k)

(0, 6) = (0,4\cdot k)

k = \frac{3}{2}

Lastly, we transform point C into point E by applying the same operation: C(x,y) = (3, 0), O(x,y) = (0,0) and k = \frac{3}{2}

E(x,y) = (0,0) + \frac{3}{2}\cdot [(3,0)-(0,0)]

E(x,y) = \left(\frac{9}{2}, 0 \right)

The coordinates of E are E(x,y) = \left(\frac{9}{2}, 0 \right).

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