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