A line contains (4,3) and (x,7). It has slope 2. Find x.
2006-11-01 11:18:23 · 9 answers · asked by xxd3bbst3Rsxx 2 in Science & Mathematics ➔ Mathematics
Equation of a line is y=mx+b m=slope b=y intercept.
Plug the first set into this equation:
3 = 2(4) + b
b= -5
Next plug in 7 for y and solve for x
7= 2x - 5
2x = 12
x = 6
2006-11-01 11:21:07 · answer #1 · answered by Nobody 3 · 1⤊ 0⤋
Slope = Y/X movement on the graph right? Rise over the run they say in math class. So a slope of 2 is 2/1 which would be move up 2, move right 1. Start with (4,3) then start moving up the slope until you get to where Y=7.
(4,3) moves up the slope to (5,5) then up one more to (6,7). Voila you found your answer, X=6;
2006-11-01 19:23:45 · answer #2 · answered by Roman Soldier 5 · 0⤊ 0⤋
x=6
2006-11-01 19:51:52 · answer #3 · answered by arlo_north 1 · 0⤊ 0⤋
(4,3) known points
if slope is 2 or 2/1
then (3+2) / (4+1)
then (5+2)/ (5+1)
so (7/6) since slope is=y/x
then it's x=6
(6,7)
2006-11-01 19:45:43 · answer #4 · answered by minaco 2 · 0⤊ 0⤋
The slope of a straight line passing through to given points is given by (y2-y1)/ x2-x1). In your case y2 =7, y1 = 3, x2 = x and x1 = 4
So just plug in the values to get (7-3)/(x-4) = 2
4/(x-4)=2
4 = 2x -8
2x =12
x = 6
2006-11-01 19:40:32 · answer #5 · answered by ironduke8159 7 · 0⤊ 0⤋
x=6
2006-11-01 19:21:04 · answer #6 · answered by hanumistee 7 · 0⤊ 1⤋
m=(y1 - y2)/(x1 - x2)
given:
m = 2
x1 = 4
x2 = x
y1 = 3
y2 = 7
sol'n:
2 = (3 - 7)/(4 - x)
(2)(4 - x) = (3 - 7)
8 - 2x = -4
-2x = -4 - 8
-2x = -12
x = 6
2006-11-01 19:26:59 · answer #7 · answered by honeymay 2 · 0⤊ 0⤋
lets see.....
(7 - 3)/(x - 4) = 2
4/(x-4)=2
4/2 = (x-4)
2 = (x-4)
6 = x
2006-11-01 19:22:08 · answer #8 · answered by bartathalon 3 · 1⤊ 0⤋
the formula for the slope is m=y2-y1
--------
x2-x1
2(x-4)=4
2x-8=4
2x=12
x=6
2006-11-01 19:23:10 · answer #9 · answered by travislizzie 2 · 0⤊ 1⤋