A line is of the form
y = mx + b
m is the slope... rise over run...
(11 - 5) / (3 - (-6)) = 6 / 9 = 2/3
b is the y-intercept... graph the two points to see this
which will be 2/3 (6) + 5 = 9
equation is:
y = 2/3 x + 9
Aloha
2006-09-17 15:35:25
·
answer #1
·
answered by Anonymous
·
2⤊
0⤋
Slope-intercept form is y = mx + b
Going from (-6,5) to (3,11)
x goes up 9, y goes up 6.
So m, aka slope, aka rise over run, is 6/9, or 2/3.
Hence, y = (2/3)x + b
To find b, plug in (3,11) for your (x,y).
11 = (2/3) * 3 + b
Solving for b, you get b=9.
Your equation is y = (2/3)x + 9.
2006-09-17 15:29:56
·
answer #2
·
answered by Bramblyspam 7
·
0⤊
0⤋
Slope is (5-11)/(-6 - (3)) = (-6)/(-9) = 2/3 = m
So y = mx + b and y = (2/3)*x + b
To get b, plug in either of the points. I'll use (3,11)
11 = (2/3)*3 + b
11 = 2 + b
b = 9 And the final equation is
y = (2/3)*x + 9
Doug
2006-09-17 15:29:11
·
answer #3
·
answered by doug_donaghue 7
·
0⤊
0⤋
To find the slope, divide dy by dx: dy = 11-5 = 6, dx = 3-(-6) = 9.
This gives us y = (6/9)x + b.
Now plug in 3 for x and 11 for y to solve for b.
2006-09-17 15:29:42
·
answer #4
·
answered by HARTaGOLD 2
·
0⤊
0⤋
First find the slope. Slope = (y1-y2)/(x1-x2)
Once you have the slope use the slope and one point in the equation y = mx + b. The point will be your x and y values and the slope goes in for m. You will need to solve for b.
The answer will be y=mx+b where you fill in the slope for m and the y intercept for b.
Hope this helps. Good Luck.
2006-09-17 15:29:03
·
answer #5
·
answered by SmileyGirl 4
·
0⤊
0⤋
(3,11) and (-6,5)
m = (5 - 11)/(-6 - 3)
m = (-6)/(-6 + (-3))
m = (-6)/(-9)
m = (2/3)
(3,11), m = (2/3)
11 = (2/3)(3) + b
11 = 2 + b
b = 9
ANS : y = (2/3)x + 9
2006-09-17 19:17:15
·
answer #6
·
answered by Sherman81 6
·
0⤊
0⤋
y=mx+b
m=6/9
2/3
3=2/3 11 + b
b= whatever 3- 11(2/3) is equal to.
then just rewrite y=mx+b
2006-09-17 15:31:14
·
answer #7
·
answered by always under siege 5
·
0⤊
0⤋