Answer:
Step-by-step explanation:
So we want to write the equation of a line that is parallel to y=x+1 and passes through the point (0,-2).
First, parallel lines have the same slope. This means that the slope of our new line <em>must</em> also be 1, the slope of the original line.
Now, to find the equation, we can use the point-slope form. The point-slope form is:
Let m (the slope) be 1, and let's let (0,-2) be x₁ and y₁. Thus:
Simplify:
Now, we want the equation to be in standard form. The standard form is:
Where A, B, and C are integers, and A is positive.
So, subtract x from both sides:
Subtract 2 from both sides:
And, A should be positive, so multiply both sides by -1:
And we're done!