What is the slope of the line passes through the pair of points (-4.1,7.4), (4.3,3.2)

1 answer:

3 0

Hi there! The formula for finding the slope is y2 - y1/ x2 - x1. This means you subtract the first x and y-coordinates form the second x and y-coordinates. (-4.1, 7.4) is the first coordinate and (4.3, 3.2) is the second coordiante. Set it up like this:

3.2 - 7.4 / 4.3 - (-4.1)

Now, let's subtract. 3.2 - 7.4 is -4.2. 4.3 - (-4.1) is 9.4. -4.2/9.4 is -0.5 when simplified. There. The slope of the line is -0.5. The answer is C: -0.5.

Note: When you subtract a negative number, you're actually adding. So if an expression is 2 - (-3), the answer is 5, because you add 3 into 2.

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Given ABC=65 and BCD=105. Is it possible that Line AB intersects line CD

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Given:

$m\angle ABC=65^\circ$

$m\angle BCD=105^\circ$

To find:

Whether it is possible that Line AB intersects line CD.

Solution:

We have,

$m\angle ABC=65^\circ$

$m\angle BCD=105^\circ$

The angles $m\angle ABC$ and $m\angle BCD$ are same sided interior angles.

If two lines are parallel and a transversal line intersect them, then the same sided interior angles are supplementary angles and their sum is 180 degrees.

$m\angle ABC+m\angle BCD=65^\circ+105^\circ$