The slope-intercept form of a line is:
y = mx + b
where m is the slope and b is the y-intercept
The slope of the line that passes through the points (x1, y1) and (x2, y2) is computed as follows:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]Replacing with the points (3, -3) and (4, -4), we get:
[tex]m=\frac{-4-(-3)}{4-3}=-1[/tex]Replacing with point (3, -3) and m = -1 into the equation,
-3 = (-1)(3) + b
-3 = -3 + b
-3 + 3 = b
0 = b
Then, the equation is:
y = -x
