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

The equation of the line that passes through (7,10) and is perpendicular to the line y=1/2x-9 is y = -2x + 24

The given equation is:

Comparing with y = mx + c

The slope, m = 1/2 = 0.5

The equation of the line perpendicular to y = mx + c and passing through the point (x₁, y₁) is:

The line passes through the point (7, 10)

That is, x₁ = 7,  y₁ = 10

Substitute x₁ = 7,  y₁ = 10 and m = 0.5 into the equation

The equation of the line that passes through (7,10) and is perpendicular to the line y=1/2x-9 is y = -2x + 24

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-2x+24

Step-by-step explanation: