A side of the triangle below has been extended to form an exterior angle of 74°. Find the value of x.
2 answers:
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Answer: y = 4x + 5
Step-by-step explanation:
The general equation of a line is y = mx + d ,
m = slope
d indicates the y-intercept, when x=0 , Y=5 => (0,5)
In the given line m = 3 , so that is the slope.
This slope has an angle = arctan(3) = 71.56º
If we need a steeper line, we have to increase m,
By example y = 4x + 5 , would have the same y-intercept but would be steeper.
This new line has a greater slope, with an angle = arctan (4) = 75.96º