Question

Indicate the equation of the line through (2, -4) and having slope of 3/5.

_ X _ _ y=

Answer 1

The eqution should be of the form
\[y=mx+n\]
where m represents the slope. So m=3/5. Now we only have to force the line to pass trough the point (2,-4),
\[y=\frac{3}{5}x+n\Rightarrow -4=\frac{3}{5}\times2+n\Rightarrow n=-\frac{26}{5}\]
So, you have,
\[y=\frac{3}{5}x-\frac{26}{5}\Rightarrow 3x-5y=26\]

Answer 2

Thank you so much. And thank you for helping me with the formula.