Question

The graph of a line has a slope of -7 and a y intercept of (0,0). Rewrite the equation in standard form (Ax+By=C) with a positive x-term. A,B, and C must all be interger

Answer 1

the equation of the line is 7x + y = 0 .

Explanation:

in the standard form of the line that is Ax +By = C we can write it in the form of

By = C - Ax

`y = (-A)/(B)x +(C)/(B)`

which is in the form of
`y = mx +c`

where m is the slope of the line and c is y intercept made by the line.

comparing
`y = (-A)/(B)x +(C)/(B)` and
`y = mx +c`

we get that
`(-A)/(B) =m` and
`(-C)/(B) = c`

since it is given that slope of the line is -7 therefore m = -7 and c = 0

therefore
`(-A)/(B) =-7` and
`(-C)/(B) = 0`

therefore C = 0 , A = 7 and B = 1

therefore the equation becomes 7x + y = 0