Westonci.ca is the best place to get answers to your questions, provided by a community of experienced and knowledgeable experts. Connect with a community of experts ready to help you find solutions to your questions quickly and accurately. Explore comprehensive solutions to your questions from knowledgeable professionals across various fields on our platform.
Sagot :
Answer:
The equation of the straight line passing through the point ( 3,1 )
[tex]\frac{x}{2} + \frac{y}{-2} = 1[/tex]
Step-by-step explanation:
Step(i):-
The equation of the straight line passing through the point ( 3,1 )
[tex]\frac{x}{a} + \frac{y}{b} = 1[/tex]
[tex]\frac{3}{a} + \frac{1}{b} = 1[/tex]
3b + a = ab ...(i)
Given the difference of length is 4
a-b = 4
b = a - 4 ...(ii)
Step(ii):-
substitute b=a-4 in equation (i) , we get
3( a-4 ) + a = a (a-4)
3a - 12+ a = - 4 a + a²
a² - 8 a + 12 =0
Find the factors of 'a'
a² - 6a -2a +12 =0
a (a-6) -2(a-6) =0
a =2 and a=6
we know that a-b =4
put a = 2
2 - b =4
b = -2
The equation of the straight line whose intercepts on the axes
[tex]\frac{x}{a} + \frac{y}{b} = 1[/tex]
[tex]\frac{x}{2} + \frac{y}{-2} = 1[/tex]
The equation of the straight line
[tex]\frac{x}{2} + \frac{y}{-2} = 1[/tex]
Verification:-
The equation of the straight line passing through the point (3,1)
[tex]\frac{x}{2} + \frac{y}{-2} = 1[/tex]
Put x =3 and y=1
[tex]\frac{3}{2} + \frac{1}{-2} = 1\\\frac{2}{2} =1\\[/tex]
1 = 1
∴ The point (3,1) is satisfies the equation
Thank you for your visit. We are dedicated to helping you find the information you need, whenever you need it. Your visit means a lot to us. Don't hesitate to return for more reliable answers to any questions you may have. Get the answers you need at Westonci.ca. Stay informed with our latest expert advice.