Answer:
x + y = -1
Step-by-step explanation:
To write the equation of a line, find the slope and use it with a point in the point slope form.
You can find the slope using the slope formula.
[tex]m = \frac{y_2-y_1}{x_2-x_1} = \frac{5--3}{-6-2} = \frac{8}{-8}=-1[/tex]
Substitute m = -1 and the point (2,-3) into the point slope form.
[tex]y - y_1 = m(x-x_1)\\y --3 = -1(x-2)\\y+3=-1(x-2)[/tex]
Convert to standard form by applying the distributive property and rearranging the terms.
y+3 = -1(x-2)
y + 3 = -x + 2
x + y + 3 = 2
x + y = -1
