SOLUTION: 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)?

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.

RELATED QUESTIONS
The line l(1) has the equation y=3x. The line l(2) is perpendicular to l(1) and passes... (answered by mananth)

find an equation of the line L, where L is perpendicular to y=2x and passes through the... (answered by Fombitz)

find an equation of the line L, where L is perpendicular to y=2x and passes through the... (answered by josgarithmetic)

write in point slope form equation that passes through the point 3,0 and a slope of 2/3 (answered by Alan3354,ikleyn)

I have to write an equation for a line that passes through the point (0,-4) and is... (answered by tutor_paul)

Find an equation of the line that passes through the point (2, 3) and is perpendicular to (answered by mananth)

Find an equation of the line that passes through the point (5, 3) and is perpendicular to (answered by TimothyLamb)

I need an linear equation that is perpendicular to the line y=4x+5 and that passes... (answered by nerdybill)

Write an equation of the line that passes through point p and is perpendicular to the... (answered by stanbon)