Respuesta :

Answer: 17a) 32°

Step-by-step explanation:

Plot the coordinates and draw a line to connect them.  

Then draw a horizontal line from (-4, 1) and a vertical line from (4, 6) until they intersect.  This creates a 90° triangle.

Notice the length of the horizontal and vertical lines.

Use trigonometry to calculate the angle. Note that tan = opposite/adjacent

[tex]tan\ \theta=\dfrac{5}{8}\\\\.\quad \theta=tan^{-1}\bigg(\dfrac{5}{8}\bigg)\\\\.\quad \theta =32^o[/tex]

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