what is the EQUATION! of the line that contains the points (3,5) and (7,9)?
(notice i need the equation not the answer!!!)
2006-12-14 10:43:09 · 22 answers · asked by james 3 in Science & Mathematics ➔ Mathematics
THE EQUATION!!!! NOT THE ANSWER PLEAZ!! I KNOW THE ANSWER IS 1 OKAY I JUST NEED TO SEE THE EQUATION!!!!
2006-12-14 10:45:36 · update #1
The simplest equation that will contain the prescribed points is a linear equation having the general form y=mx+b; however, the number of possible equations containing both of those points is infinitely great.
2006-12-14 11:28:04 · answer #1 · answered by Anonymous · 0⤊ 0⤋
The equation is the answer. First, you need to find the slope of the line by finding the difference of the Y's (9-5=4) over the difference of the X's (7-3=4). So the slope is 4/4 which = 1. Now find the y-intercept. The equation of a line can be written as y=mx+b. b is the y-int and m is the slope.
Use the point (3,5) and the slope 1 and plug in.
5=1(3)+b so
5=3+b
b=2 so the equation is...
y = 1x + 2
2006-12-14 18:55:40 · answer #2 · answered by Anonymous · 0⤊ 0⤋
y=x+2
2006-12-14 18:55:37 · answer #3 · answered by ? 2 · 0⤊ 0⤋
y=x+2
2006-12-14 18:47:24 · answer #4 · answered by lilsmartypants12 1 · 1⤊ 0⤋
y = x + 2
2006-12-14 18:47:08 · answer #5 · answered by Justin H 2 · 1⤊ 0⤋
y=x+2
2006-12-14 18:46:39 · answer #6 · answered by germainassasin 2 · 1⤊ 0⤋
y=x+2
2006-12-14 18:46:20 · answer #7 · answered by Bao L 3 · 0⤊ 0⤋
y=x+2
2006-12-14 18:45:30 · answer #8 · answered by Aazim S 2 · 1⤊ 0⤋
y = x + 2
2006-12-14 18:45:17 · answer #9 · answered by MrSmarT 3 · 1⤊ 0⤋
ok, point 1: (3,5) & point 2 (7,9)
if you have 2 points, you can get the slope(m) next:
slope: m = rise/run = (y2-y1) / (x2-x1) = (9 - 5) / (7 - 3) = 4 / 4 = 1
m = 1
no, you have 2 points and the slope, so you use the point-slope form for the equation of the line(below). If you the slope and an intercept, then you would use slope-intercept form for the equation of the line. The information you have tells you what equation to use to get the equation of a line.
Using Point-slope form:
y - y1 = m (x - x1)
y - 5 = 1(x - 3)
y - 5 = x - 3
y = x + 2
or, another way to write the answer is x - y = -2
2006-12-14 19:03:45 · answer #10 · answered by wicky_busstop 2 · 0⤊ 0⤋
We will write the equation in point-slope form. This equation needs any point and the slope. Since we have two points, we can use the slope formula to find these points:
The slope of the line between (X,Y) and (x,y) is defined as (Y-y)/(X-x). The slope between these two points is thus (9-5)/(7-3) or 1.
The point slope form is y-Y = m(x-X) where m is the slope and (X,Y) is any point on the line. Thus, the equation (using the point 3,5 ) is:
y-5 = (1)(x-3)
If you need it in y = mx + b form, that would be:
y = x - 3 + 5
y = x + 2
2006-12-14 18:49:05 · answer #11 · answered by Lucan 3 · 1⤊ 0⤋