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Find thr equation of the line passinh through the given points.


1. (1,5) (2,7)

2006-12-27 21:21:39 · 6 answers · asked by Angel eyeZ 1 in Education & Reference Homework Help

6 answers

***Step 1-find the slope (rise over run)
(7-5)/(2-1)--> 2/1-->2

now that you know the slope is two...

***Step 2-plug in what you know into the point slope formula which is...
(y-y1)=m(x-x1)

choose either (1,5) or (2,7) to enter for Y1 and X1
in this case i'll do the (1,5)

y-5=2(x-1)
y-5=2x-2

***step 3-isolate "y"

y-5=2x-2
y=2x-2+5 (add 5 to both sides of the equation)
y=2x+3 (simplify)

and now you have your answer y=2x+3

g'luck

2006-12-28 02:11:18 · answer #1 · answered by maxi409 2 · 0 0

Ok first you need to plot these points. Now you can probably see that it is a linear equation. This means that it follows the rule of:
y = mx + c. In this equation, the gradient equals M and the y-intercept is c (the point which this line would cross the y-axis if you drew the whole thing). Now M is:
(Y2 - Y1)/(X2 - X1). In (1,5) let 1 = X1 and 5 = Y1. In (2,7) let 2 = X2 and 7 = Y2. This means M = (7-5)/(2-1) which equals 2. Now using the gradient say that 2 = (y-5)/(x-1), in which case 2(x-1) = y-5. So 2X - 2 = Y-5 therefore Y = 2X + 3. you can also use 7 and 2 for this part if you want. Oh and to find the gradient you can also say (5-7)/(1-2).

2006-12-28 06:29:09 · answer #2 · answered by Me Y 2 · 0 0

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Good luck.

Kevin, Liverpool, England.

2006-12-29 10:53:26 · answer #3 · answered by Anonymous · 0 0

let (x1,y1)=(1,5) and (x2,y2)=(2,7)
equationof line passing through (x1,y1) and (x2,y2) is
y-y1=(y2-y1)/(x2-x1) *(x-x1)
y-5=(7-5)/(2-1) *(x-1)
y-5=2/1 *(x-1)
y-5=2(x-1)
y-5=2x-2
2x-y+3=0

2006-12-28 05:30:23 · answer #4 · answered by flori 4 · 0 0

maths is a subject which needs practice ."PRACTICE MAKES A MAN PERFECT".so practice or homework is the same thing

2006-12-28 05:40:48 · answer #5 · answered by sid 2 · 0 0

R u sure????

2006-12-28 05:24:47 · answer #6 · answered by prettywoman 2 · 0 0

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