Answer:
8y -2 = 2x
Step-by-step explanation:
The equation of the perpendicular line will have the coefficients of x and y swapped, and one of them negated. The constant can be found by substituting the given point value:
8y +constant = 2x . . . . coefficients swapped; former y-coefficient negated
8(2) +constant = 2(7) . . . . . fill in given point values (x, y) = (7, 2)
constant = 14 -16 = -2 . . . . subtract 16
The equation can be written as ...
8y -2 = 2x
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Additional comment
Personally, I prefer standard form, which has common factors removed from the coefficients, and has the constant separated from the variable terms:
x -4y = -1
Some like the slope-intercept form better:
y = 1/4x +1/4
Apparently, your curriculum author doesn't care how the equation of the line is written, so we have answered with the same form that was given.
