Question

Input in standard form the equation of the given line.

Answer 1

Use equation of line which passes through the 2 points $A(x_1,y_1),B(x_2,y_2)$.

$y-y_1= \frac{y_2-y_1}{x_2-x_1}(x-x_1) \\ \\A(1,5),B(-2,3) \\ y-5= \frac{3-5}{-2-1}(x-1) \\y-5= \frac{2}{3} (x-1) \\y-5=\frac{2}{3}x-\frac{2}{3} \\3y-15=2x-2 \\-2x+3y=-2+15 \\-2x+3y=13$