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The equation of the line that passes through (7, 10) and its perpendicular to the line y = (1/2)x - 9 is y = -2x + 24
The coordinates of the line passing through the point = (7, 10)
The equation of the perpendicular line
y = (1/2)x - 9
The slope of the line = 1/2
The slope of the original line = - 1 / (1/2)
= -1 × 2
= -2
The slope intercept form is
y = mx + b
Substitute the values in the equation and find the value of b
10 = -2(7) + b
10 = -14 + b
b = 10 + 14
b = 24
Substitute the value of b and m is the equation
y = -2x + 24
Therefore, the slope of the line is y = -2x + 24
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