Question

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

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

Answer 1

`\bf y-{{ y_1}}={{ m}}(x-{{ x_1}})\implies y-(-4)=1(x-0)\implies y+4=x\\ \left. \qquad \right. \uparrow\\ \textit{point-slope form}`

now, the so-called standard form, is moving the variables to the left-hand-side, sort them in descending order according to their exponents, and usually alphabetically some, so the "x" is left of the "y" and so on

-x+y=-4