Question 4546: How would I right an equation of the line perpendicular to the line
l: y=-1/4x+2 and passes through point P(3,0)?
Answer by granville(2)   (Show Source):
You can put this solution on YOUR website! Two lines are perpendicular if their slopes are negative reciprocals. In your example, the given slope is -1/4. (I know that because it is the coefficient of x.) Since the negative reciprocal of -1/4 is +4/1, or 4, the slope of the new line is 4. So, the new line must look like this
y = 4x + ___
I can fill in the blank if I use the point you gave, (3,0). This means that when x = 3, y = 0. Substitute them into my equation above.
0 = 4(3) + ____
0 = 12 + ____
So, the blank must have a -12. Therefore, the line is
y = 4x - 12.
|
|
|
