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If a line has a slope of –2 and passes through the points (4, 9) and

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Bunuel
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If a line has a slope of –2 and passes through the points (4, 9) and [#permalink] New post   19 Dec 2018, 01:16
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If a line has a slope of –2 and passes through the points (4, 9) and (6, y), what is the value of y?

A. -5
B. -1/5
C. 0
D. 1/5
E. 5
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E
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Re: If a line has a slope of –2 and passes through the points (4, 9) and [#permalink] New post   19 Dec 2018, 01:37
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Bunuel wrote:
If a line has a slope of –2 and passes through the points (4, 9) and (6, y), what is the value of y?

A. -5
B. -1/5
C. 0
D. 1/5
E. 5


m=y2-y1/x2-x1

-2=y-9/6-4

solve for y = 5 IMO E
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Re: If a line has a slope of –2 and passes through the points (4, 9) and [#permalink] New post   10 Nov 2020, 08:52
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Bunuel wrote:
If a line has a slope of –2 and passes through the points (4, 9) and (6, y), what is the value of y?

A. -5
B. -1/5
C. 0
D. 1/5
E. 5



(Y1-Y2[y])/(X1-X2)=-2
(9-y)/)4-6)=-2
y=5
Ans. E
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Re: If a line has a slope of –2 and passes through the points (4, 9) and [#permalink] New post   03 May 2021, 23:33
Let the equation of a line y=mx+c
slope = -2 implies y=-2x+c ...........(1)

we find C (y intercept) as the line passes through point (4,9)
9=-8+c
c=17

equation of line : y=-2x+17
the line also passes through point (6,y)
y=-12+17
y=+5

alternately , we can use SLOPE FORMULA to get y

KUDOS , if you liked the explanation
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Re: If a line has a slope of –2 and passes through the points (4, 9) and [#permalink] New post   03 May 2021, 23:59
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Slope = \(m = -2 = \frac{y - 9 }{ 6 - 4} = \frac{y - 9 }{ 2}\)

=> - 4 = y - 9

=> y = 5

Answer E
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Re: If a line has a slope of –2 and passes through the points (4, 9) and [#permalink]
03 May 2021, 23:59
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