Answer:
-x + y = - 2
Step-by-step explanation:
Standard Form of the Line
The equation of a line can be written in standard form:
Ax + By = C
To find the values of A, B, and C, we must use the point-slope form:
y - k = m(x - h)
Where m is the slope and (h,k) is one point where the line passes through.
Let's calculate the slope by using the given points (3,1) and (0,-2):
[tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\displaystyle m=\frac{-2-1}{0-3}=1[/tex]
Now find the equation by using the point (0,-2):
y + 2 = 1(x - 0)
y = x - 2
Subtracting x:
- x + y = - 2
