SOLUTION: What is perpendicular to y=4x-7 through (5,-1)

Question 27335: What is perpendicular to y=4x-7 through (5,-1)
Answer by rodriguezh2(15) (Show Source): You can put this solution on YOUR website!
When doing these problems always make sure your given equation is in y = mx + b form. Which yours is y = 4x - 7
Remember (m) represents slope and (b) represents the y-intercept.
Perpendicular lines have negative reciprocal slopes. Your slope for your given line is 4. This means the line we are looking for that is perpendicular to the given line is -(1/4)
We also know that your line contains the point (5,-1)
Remember that 5 represents the x value and -1 represents the y value
We can plug these numbers into the equation: (y - y1) = m(x - x1)
(y - (-)1) = -(1/4)(x - 5) Remember to change your -1 to a positive number
(y + 1) = -(1/4)x + (5/4) Multiply the right side of the equation through
Remember that when you multiply two negatives you get a positive number
Now subtract 1 from both sides; to do this you need to change one to (4/4) getting the least common denominator so you can subtract: (5/4) - (4/4)
So we are left with:
y = -(1/4)x + 1/4
Hope this helps!
RELATED QUESTIONS
what is perpendicular to y = -3x + 7, through (3,... (answered by mananth)

What is perpendicular to y=-4x+7 through the point... (answered by MathLover1)

What is the equation of the line in slope-intercept form? the line perpendicular to y =... (answered by MathLover1,ewatrrr)

Line l passes through (1,-3) and is perpendicular to y = (1/5) x - 7. What is the... (answered by Tutorteddy.Com)

what is perpendicular to y = 8x - 1, through... (answered by Fombitz)

What is the equation of a line that is perpendicular to y = 4x - 2 and goes through (4,... (answered by Fombitz)

What is the equation if the line perpendicular to y= 2x + 7 and is passing through (1,... (answered by stanbon)

What is the equation of a line that is perpendicular to y=4x+5 and passes through the... (answered by Fombitz)

find the equation of the line that passes through the point (2,6) and is perpendicular to (answered by jim_thompson5910)