A line passes through points (-4,2) and (5,1), the line has a equation Y=mx+b, what is m= ?
2007-05-08 07:12:46 · 6 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics
slope formula
m = y₂- y₁/ x₂- x₁
Ordered Pairs
(- 4, 2)(5, 1)
m = 1- 2 / 5 - (- 4)
m = - 1 / 5 + 4
m = - 1 / 9
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Sloope intercept form
y = mx + b
2 = - 1/9(- 4) + b
2 = -(- 36 / 9 + b
2 = 36 / 9 + b
2 = 4 + b
2 - 4 = 4 + b - 4
- 2 = b
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The equation
y = - 1/9x - 2
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2007-05-08 07:47:52 · answer #1 · answered by SAMUEL D 7 · 0⤊ 0⤋
m is the slope of the line. The slope is defined as the change in y divided by the change in x. So,
Change in y = 1-2 = -1
Change in x = 5-(-4) = 5+4 = 9
So m= -1/9
2007-05-08 14:20:27 · answer #2 · answered by RG 3 · 0⤊ 0⤋
m is the slope
(1 - 2) / (5 +4) = -1/9 = m
then plug in an x and y variable
2 = (-1/9) (-4) +b .... solve for b
2007-05-08 14:18:20 · answer #3 · answered by j p 2 · 0⤊ 0⤋
-1/9
2007-05-08 14:17:48 · answer #4 · answered by mike 3 · 0⤊ 0⤋
well.......i can do this with another method......
m= y-y1/x-x1
= 1-2/5-(-4)
= -1/9
after putting value of m..........solve for b,
b=-2
2007-05-08 14:19:39 · answer #5 · answered by pjd_0501 2 · 0⤊ 0⤋
m=slope = change y/change x
(y1-y2)/(x1-x2)=
(2-1)/(-4-5)=
1/-9=-1/9=m
2007-05-08 14:17:50 · answer #6 · answered by danjlil_43515 4 · 0⤊ 0⤋