Question

Work out the equation of the line which passes through the point (-1, 2)

and is parallel to the line y = x + 4.

Answer 1

y = x +3

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