Question

Indicate in standard form the equation of the line through the given points.

P(0, -4), Q(5, 1)

Answer 1

do u know the eq of line passing through two points?

Answer 2

It is as given below:
\[\frac{x-x_{1}}{x_{2}-x_{1}} =\frac{y-y_{1}}{y_{2}-y_{1}}\]

Answer 3

since the line passe sthrough the points P(0, -4), Q(5, 1)
therefore \[x_{1}=0, x_{2}=5, y_{1}=-4, y_{2}=1\]
plugging these values in the eq we find
\[\frac{x-0}{5-0} =\frac{y+4}{1+4} \rightarrow \frac{x}{5} =\frac{y+4}{5}\]
i.e. x = y+4
i.e. x-y=4 is the required eq of the line