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.

Algebra ->  Points-lines-and-rays -> 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.      Log On


   

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) About Me  (Show Source):
You can put this solution on YOUR website!
Start with the general form in slope-intercept form:
y+=+mx%2Bb
Find the slope of the given line whose equation is:
2x%2By+=+7 rewrite in slope-intercept form:
y+=+-2x%2B7 The slope, m+=+-2.
The slopes of perpendicular lines are negative reciprocals.
The slope of the new line is:
-%28-1%2F2%29+=+1%2F2, so...
y+=+%281%2F2%29x%2Bb To find b substitute the x- and y-coordinates of the given point (4, 4) and solve for b.
4+=+%281%2F2%294%2Bb
b+=+2, finally:
y+=+%281%2F2%29x%2B2 is the final equation.