Given (x/a)+(y/b)=1 , the equation of the line t , determine a and b under the following conditions
i) line t is 4 units from O, and the x-intercept is -8
ii) line t has equal intercepts and passes through (5, -3)

Question

Given (x/a)+(y/b)=1 , the equation of the line t , determine a and b under the following conditions 
i) line t is 4 units from O, and the x-intercept is -8
ii) line t has equal intercepts and passes through (5, -3)

anonymous · Answer

@satellite73

anonymous · Answer

@ganeshie8

anonymous · Answer

@sleepyhead314

sleepyhead314 · Answer

Sorry, I can't think of the proper way to do these problems .-.
I'll try tag some people for you tho

sleepyhead314 · Answer

equation of a line HALP @Directrix @hartnn @freckles @satellite73 @Vocaloid

directrix · Answer

I have an idea for the second part.

ii) line t has equal intercepts and passes through (5, -3) 

 (x/a)+(y/b)=1
If the intercepts are equal, then a = b.

The equation becomes:

x/a + y/a = 1

The line passes through (5,-3)
5/a + (-3)/a = 1

Multiply through by a to get:

5 - 3 = a 

2 = a

The equation is:

x/2 + y/2 = 1 which can be written as:

y = 2 - x    @AliLnn  See what you think about this.

anonymous · Answer

o sorry i fall asleep... yea that looks like it

sleepyhead314 · Answer

Thanks @Directrix :)