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An equation of the line that passes through (7,10) and is perpendicular to the line y=1/2x-9 is
Step-by-step explanation:
We need to write an equation of the line that passes through 7,10 and is perpendicular to the line y=1/2x-9
<u>Note:</u> Considering the line y=1/2x-9
For finding an equation of line we need
- Slope (m)
- y-intercept (b)
The general equation of slope intercept form used is:
The equation of line given is: y=1/2x-9
The new line is perpendicular to the given line So, the slope of new line would be m = -1/m
So, Slope of given line m = 1/2
Slope of required line = -1/m = -2
So, m= -2
Now, for finding y-intercept (b) we need slope m = -2 and the point given (7,10)
Putting values of m, x=7 and y = 10 in the equation of slope intercept form
So, Equation of required line having slope m = -2 and y-intercept b = 24
An equation of the line that passes through (7,10) and is perpendicular to the line y=1/2x-9 is
Keywords: Equation of line using Slope
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