Find the slope of the line that passes through each pair of points a. (-4, 5), (1, 1)

Mathematics

1 answer:

Rashid [163]2 years ago

5 0

The slope would be -4/5

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Q # 1 Graph the function Y = |X + 2| - 3

Svetllana [295]

First of all we know the Absolute Value Function that is:

$\left | x \right |= \left \{ {{x \ \ \ \ x \geq 0} \atop {-x \ \ \ \ x\ \textless \ 0}} \right.$

This is called the Parent Function of the Absolute Value Function.

From the equation:

$y=\left | x+2 \right |-3$

The term:

$\left | x+2 \right |$

means that the the Parent Function is shifted two units to the left.

On the other hand, the term:

$-3$

means that the function $\left | x+2 \right |$ is shifted three units downward. So the result is the graph shown below