Brain equation of the line described passes through (7,-7) perpendicular to the line Y = - + x 1

Answer 1

I'm assuming the question is: find the equation of the line that is perpendicular to y = -x + 1 and passes through (7, -7).

The slopes of perpendicular lines are negative reciprocals. The slope of y = -x + 1 is -1 (y=mx+b, slope intercept form) --> thus the slope of the perpendicular line is -1/m where m = -1 --> slope of perpendicular line is 1.

We have the slope of the new line and a point that it passes through. Plug these values into the point slope form equation of a line: y-y₁=m(x-x₁), where (x1, y1) is a point, and m is the slope.

y-(-7) = 1(x-7)

y+7 = x-7

y = x - 14

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