Pleeez help, this homework iz due tomorrow!!! and we need a paragraph on how to look at an equation and know if its slope goes through the origin
2007-01-10 09:21:25 · 9 answers · asked by ~*~ Breezy ~*~ ~ 1 in Science & Mathematics ➔ Mathematics
A line formula is can be rearranged to the form y = mx + c where m is the gradient and c is the y-value at x = 0. If this c value is 0 ( y = mx), the line does pass through (0,0) - the origin
2007-01-10 09:27:41 · answer #1 · answered by Tom :: Athier than Thou 6 · 1⤊ 0⤋
If the equation is in standard form
(Ax + By = C), it passes through the origin if C = 0.
Ax + By = 0.
If the equation is in slope-intercept form
(y = mx + b), it passes through the origin if b = 0.
y = mx + 0, or
y = mx.
In either case, a line will pass through the origin if the equation only has an x term and a y term, with no constants being added other than zero.
2007-01-10 17:47:32 · answer #2 · answered by Louise 5 · 0⤊ 0⤋
The general form for slopes of an equation is the first derivative (using calculus) of that equation.If you already have the first derivative then yes the answer is:
set x = 0
calculate y from the formula
if y == 0 then yes it passes through the origin.
2007-01-10 17:54:48 · answer #3 · answered by J C 5 · 0⤊ 0⤋
Another easy way to tell would be to look at the equation in its y= form. If there is no constant after expanding, then the equation passes through the origin.
2007-01-10 17:26:27 · answer #4 · answered by smawtadanyew 2 · 0⤊ 0⤋
Linear equations? If in y = ax + b form, it goes through the origin when b=0.
If in ax + by = c form, it goes through the origin when c = 0.
For other equations, if f(0) = 0, then it clearly goes through the origin.
2007-01-10 18:02:36 · answer #5 · answered by Philo 7 · 0⤊ 0⤋
for just a line in the equation form
y = mx + b where m is the slope and b is the y-intercept
The line will only intersect the origin if the value of b is 0.
If you equation is given to you in another form, try to move it to the form above to see
2007-01-10 17:29:06 · answer #6 · answered by mathematicsftw 1 · 0⤊ 0⤋
easy. If you have an equation, like
Ax+By=C
Stick in 0 for x. If that gives you a value of 0 for y, then the line passes through the origin.
(IE, if C=0).
2007-01-10 17:24:59 · answer #7 · answered by bequalming 5 · 3⤊ 0⤋
YOu set x and y to 0 and see if both sides turn out the same (ex. 25=25)
2007-01-10 17:29:31 · answer #8 · answered by trettsem 2 · 0⤊ 0⤋
rearrange the equasion to y=mx+c form,
if c=0 then it pass through
2007-01-10 18:01:53 · answer #9 · answered by Mr. DC Economist 5 · 0⤊ 0⤋