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Line k is represented by the equation y = 2x + 2. Write

an equation of a line that is perpendicular to line k that also passes through the point (-2, 9)?

User Joaoavf
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1 Answer

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Explanation:

so, we calculate the perpendicular slope, and then we start with the point-slope form (since we were given a specific point of the line), and transform into the regular slope-intercept form.

the slope in

y = 2x + 2

is the factor of x : 2 or 2/1

the perpendicular slope is turning this upside down and flips the sign : -1/2

the point- slope form is

y - y1 = a(x - x1)

"a" being the slope, (x1, y1) being the point.

y - 9 = -1/2(x - -2)

y - 9 = (-1/2)x - 1

y = (-1/2)x + 8

User Gergana
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