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3 years ago

A line passes through A(3,7) and B(-4,9). Find the value of a if C(a, 1) is on the line.

Mathematics

1 answer:

brilliants [131]3 years ago

3 0

Answer: a=24

Step-by-step explanation:

Lets find the line's formula (equation of the line).

As known the general formula of any straight line (linear function) is

y=kx+b

Lets find the coefficient k= (Yb-Ya)/(Xb-Xa)=(9-7)/(-4-3)=-2/7

(Xb;Yb)- are the coordinates of point B

(Xa;Ya) are the coordinates of point A

Now lets find the coefficient b. For this purpose we gonna use the coordinates of any point A or B.

We will use A

7=-2/7*3+b

7=-6/7+b

b=7 6/7

So the line' s equation is y= -2/7*x+7 6/7

Now we gonna find the value of a usingcoordinates of point C.

Yc=1, Xc=a

1=-2/7*a+7 6/7

2/7*a= 7 6/7-1

2/7*a=6 6/7

(2/7)*a=48/7

a=48/7: (2/7)

a=24

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Step-by-step explanation:

Let the shortest side be x.

Translating the word problem into an algebraic equation, we have;

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