The slope-intercept form is written as:
y = mx + b
So, we need to rewrite the given equation in this form:
x - y = 10
x - y - x = 10 - x
-y = 10 - x
(-1) * (-y) = (-1) * (10 - x)
y = -10 + x
y = x - 10
Now, we can graph the equation. In order to do so, we can plot two points that satisfy this equation and join them with a line.
Notice that, for x = 0:
y = 0 - 10 = -10
For x = 10:
y = 10 - 10 = 0
Thus, the points (0, -10) and (10, 0) satisfy the equation: