Question

How do you write an equation in standard form if m=9 and it's passing through points (-4,5)?

Answer 1

Start by expressing the equation in point-slope form; then convert to standard form.

Point-slope form
`(y-y_1) = m(x-x_1)`
`(y-5) = 9(x-(-4))`

Standard form
`Ax+By=C`
`(y-5)=9(x-(-4))`
`rarr y-5 = 9x+36`
`rarr (-9)x+(1)y=41`
or
`9x -y = -41`
`" since some definitions of standard form require the coefficent of "x" to be a non-negative integer"`