Asked by MOLY

The angle of inclination of a line passing through (4,5) and (a,-5) is 45°. Find the value of a.

Answers

Answered by Reiny
Did you know that the slope of a line equals the tangent of the angle that the line makes with the x-axis ?
so tan45° = 1
so we know the slope of the line is 1
(-5-5)/(a-4) = 1
a - 4 = -10
a = -6

Check with a quick sketch of the situation.
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