Question

how to find the slope of the line if the equation is in standard form

Answer 1

Ax+By+C=0, slope = -A/B

Answer 2

Yes because Standard form is \(Ax+By+C=0\). Rearranging it for y to put it in slope-y-intercept form yields:
\[Ax+By+C=0 \\
By=-Ax-C \\
y=-\frac{A}{B}x-\frac{C}{B}\]
And since we know the slope of any formula with the equation \(y=mx+b\) is \((m)\), then we know that the slope of \(y=-\frac{A}{B}x-\frac{C}{B}\) is \((-\frac{A}{B})\)

Answer 3

THe general form of an equation of a line is

y = mx + c

Slope , m = -y/m