Answer:
y = x +3
Step-by-step explanation:
The equation of a parallel line can use the same x- and y-coefficients as the given equation. Only the constant needs to be found to make the line go through the given point.
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form of the solution
The equation of the given line is ...
y = x +4
So, the equation of a parallel line will be ...
y = x +b . . . . . for some y-intercept b
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solution
Using the given point (x, y) = (-1, 2), we can fill in the values and solve for b.
2 = -1 +b
3 = b . . . . . . add 1 to both sides
The desired equation is ...
y = x +3
