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Answer:
4x +y = -1
Step-by-step explanation:
The equation of the perpendicular line can be written by ...
- swapping the x- and y-coefficients, negating one of them
- choosing a new constant so the line goes through the given point.
The x- and y-coefficients in the given equation are 1 and -4, respectively. Since we want the leading coefficient positive, it is convenient to use 4 and 1 as the coefficients in the new equation. The constant can be found by substituting (x, y) = (-2, 7) to see what it is.
4x +y = 4(-2) +7 = -1
The desired perpendicular line has an equation ...
4x +y = -1
