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3 years ago

Which of the following represents the equation of the line passing through (-4,5)

Mathematics

1 answer:

Sergio [31]3 years ago

5 0

Answer:

Answer: y=2x+13.

Step-by-step explanation:

Your input: find the equation of the line perpendicular to the line y=5/2−x/2 passing through the point (−4,5).

The equation of the line in the slope-intercept form is y=5/2−x/2.

The slope of the perpendicular line is negative inverse: m=2.

So, the equation of the perpendicular line is y=2x+a.

To find a, we use the fact that the line should pass through the given point: 5=(2)⋅(−4)+a.

Thus, a=13.

Therefore, the equation of the line is y=2x+13.

Answer: y=2x+13.

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2 years ago

The point A (5,11) is reflected across the x-axis. How long is the segment AA'?<br>

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Step-by-step explanation: Given that the point A(5, 11) is reflected across the X-axis.

We are to find the length of the segment AA'.

We know that

if a point (x, y) is reflected across X-axis, then its co-ordinates becomes (x, -y).

So, after reflection, the co-ordinates of the point A(5, 11) becomes A'(5, -11).

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