The slope intercept form of a line is y=mx+b, where m is the slope and b is the y-intercept (the value of y when x=0). We are given that the slope is 4/5 and the point (0,1) so we know m=4/5 and b=1 so:
y=4x/5+1 now to rearrange into standard form ax+by=c
y=(4x+5)/5
5y=4x+5
5y-4x=5
So the answer is D.
However, by convention, in standard form, the equation is usually expressed with a positive coefficient for x.
5y-4x=5 SHOULD be expresses so the x has a positive coefficient, divide both sides by -1 and you have the technically correct form:
4x-5y=-5
Apparently whomever/whatever posed this question to you was unaware of this convention :P
Don't you mean "coords," or (better yet) "coordinates?"
Look at line DG as an example. It's vertical. If you rotate the whole figure clockwise, then line DG becomes the horiz. line D'G.' G' would have the coordinates (-1,-1), and D' (5,-1). Plot these points G' and D' and see whether or not you agree.
Notice that the triangle is a right triangle, because of the right angle. By the Pythagorean Theorem,
. Then
, d. 8 m
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