Question

Which is an equation of the given line in standard form?



A.


–8x + 9y = 23


B.


–8x + 9y = –23


C.


–8x + 7y = 25


D.


–9x + 8y = –23

Answer 1

-8x+9y=23 -- y=8/9x+23/9

(-4,-1), (1/2,3)
(3--1)/(1/2--4)= 4/(4 1/2)=.888888889

So answer A because if you rearrange it in y=mx+b form you see it's y=8/9x+23/9. And using the two points provided you can subtract to find the slope which comes out to be 8/9 the only two answers with that are A and B, so eliminate C and D. Then you can easily tell by looking at the graph that the y-intercept is positive, thus answer A is the only answer that works.

Answer 2

Okay, thank you.