find the slope of the line whose equation is px - qy = r. q/p p/q -r/q
px - qy = r
-qy = -px + r
y = (-p/-q)x + (r/-q)
y = p/qx - r/q
ur slope is p/q
Answer:
The slope is equal to
\(m=\frac{p}{q}\)
Step-by-step explanation:
we have
\(px-qy=r\)
Isolate the variable y
Subtract \(px\) both sides
\(px-qy-px=r-px\)
\(-qy=r-px\)
Divide by \(q\) both sides
\(-y=(r-px)/q\)
Multiply by \(-1\) both sides
\(y=(px-r)/q\)
\(y=\frac{p}{q}x-\frac{r}{q}\) ------> linear equation into slope-intercept form
the slope is equal to
\(m=\frac{p}{q}\)
The y-intercept is equal to
\(b=-\frac{r}{q}\)