SOLUTION: What is the acute angle that is formed by the line y - 1/4 x - 2 = 0 and the x-axis?

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Question 979152: What is the acute angle that is formed by the line y - 1/4 x - 2 = 0 and the x-axis?

Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
y+-+%281%2F4%29+x+-+2+=+0
Change to slope-intercept form:
y+=+%281%2F4%29x+%2B+2
find two points that lie on a line and graph a line:
x|y
0|2
-8|0
+graph%28+600%2C+600%2C+-10%2C+10%2C+-10%2C+10%2C+%281%2F4%29x+%2B+2%29+

You can see a triangle on you graph, formed by your line, and the x and y axes. The line crosses the y axis at 2, and the x at -8.
The length along the x axis is adjacent to the angle you want, the line along y is opposite.
So you can say
tan+%28angle%29+=2%2F8 (the signs don't matter once you've found your triangle) so
angle+=tan%5E-1+%281%2F4%29
angle+=14.04°