y = 4x - 31
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To find the equation of a line perpendicular to another line, we need to determine its slope.
The given line has a slope of -1/4. The slope of a line perpendicular to this line will be the negative reciprocal of -1/4, which is 4.
Now, we can use the slope-intercept form of a line (y = mx + b) and the given point (7, -3) to find the equation of the perpendicular line.
Substituting the values into the equation, we get
Plugging in the values of the point (7, -3), we can solve for b to find the final equation.
- -3 = 4*7 + b
- -3 = 28 + b
- b = - 3 - 28
- b = - 31
So, the equation of the line is y = 4x - 31.