SOLUTION: Write the equation of the line which is perpendicular to the line y = -4x - 5 and has the same y-intercept as the line y = 2x - 1

Algebra ->  Linear-equations -> SOLUTION: Write the equation of the line which is perpendicular to the line y = -4x - 5 and has the same y-intercept as the line y = 2x - 1      Log On


   



Question 719875: Write the equation of the line which is perpendicular to the line y = -4x - 5 and has the same y-intercept as the line y = 2x - 1
Answer by jsmallt9(3758) About Me  (Show Source):
You can put this solution on YOUR website!
The slope of the line y = -4x - 5 is -4. The slope of any line perpendicular to this one will be the negative reciprocal of -4. The reciprocal of -4 is -1/4. The negative of this reciprocal would be 1/4. So the slope of any perpendicular line will be 1/4

The y-intercept of y = 2x - 1 is -1.

So a line perpendicular to y = -4x - 5 with a y-intercept of -1 will be:
y+=+%281%2F4%29x+%2B+%28-1%29 or y+=+%281%2F4%29x+-1