Question

Use the information given to enter an equation in standard form.(2,-4) and (-1,5) are on the line.

Answer 1

Express the equation of a line having two points (x1,y1) and (x2,y2).

$y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)$

The points are (2,-4) and (-1,5) implies,

$\begin{gathered} y+4=\frac{5+4}{-1-2}(x-2) \\ y+4=-3(x-2) \\ y+4=-3x+6 \\ y=-3x+2 \end{gathered}$

Convert it into standard form ax+by=c implies,

$3x+y=2$

Therefore, the answer is 3x+y=2.