Which of the following is an equation of the line that has a y-intercept of 2 and an x-intercept of 3?
-2x+3y=4
-2x+3y=6
2x+3y=4
2x+3y=6
3x+2y=6
With explanation please.
Thanks!
2007-10-05 10:56:42 · 4 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics
y-intercept = 2 (2y)
x-intercept = 3 (3x)
2x3=6
(2y+3x=6) (the fifth option)
2007-10-05 11:02:07 · answer #1 · answered by Rob L 1 · 0⤊ 0⤋
If it has a y-intercept of 2, then it crosses the y-axis at 2, so it has (0,2) as one of its points. Likewise, it would have (3,0) as a point.
There are several ways to get the line equation from here. You could take this as the line with a slope of (2-0)/(0-3) = -2/3 and y-intercept of 2, giving you y = -(2/3)x + 2 for the line, which can be rewritten as 3x + 2x = 6. Or since this is multiple choice, you could "cheat" and plug the points into each of the choices to see which one has both (0,2) and (3,0) as solutions.
2007-10-05 11:02:25 · answer #2 · answered by Anonymous · 0⤊ 0⤋
2x+3y =6
If you set x = 0, you get y=2 -->(0,2) is y-intercept
If you set y = 0, you get x =3 --> (3,0) is x-intercept
2007-10-05 11:03:27 · answer #3 · answered by ironduke8159 7 · 0⤊ 0⤋
2x + 3y= 6
because to find the y-int. you replace x with 0 and evaluate.
to get the x-int. you replace the y with 0 and evaluate.
2007-10-05 14:15:34 · answer #4 · answered by amn06 1 · 0⤊ 0⤋