Write an equation on the line that passes through (7,10) and is perpendicular to the line y=1/2x-9

Answer 1

The slope of a line perpendicular to y = 1/2x - 9 will have a slope that is the negative reciprocal of the given equation of the line, so that m = -2.

The equation of the line you need can be found by using the point-slope form of the equation of a line, or y - y₁ = m (x - x₁).

Substitute the coordinates of the given point (7,10) as (x₁, y₁) and the slope m=-2:

y - 10 = -2(x - 7)

y - 10 = -2x +14

⇒ y = -2x +24