SOLUTION: Write an equation of the line that passes through the point at (4,4)and is perpendicular to the line whose equation is 2x+y=7.

Question 551321: Write an equation of the line that passes through the point at (4,4)and is perpendicular to the line whose equation is 2x+y=7.
Answer by Earlsdon(6294) (Show Source): You can put this solution on YOUR website!
Start with the general form in slope-intercept form:

Find the slope of the given line whose equation is:
rewrite in slope-intercept form:
The slope, .
The slopes of perpendicular lines are negative reciprocals.
The slope of the new line is:
, so...
To find b substitute the x- and y-coordinates of the given point (4, 4) and solve for b.

, finally:
is the final equation.
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