SOLUTION: What is an equation of the line that passes through the point (−2,−4) and is perpendicular to the line x+5y=15. Express your answer in slope-intercept form.
y=mx+b
Algebra.Com
Question 552055: What is an equation of the line that passes through the point (−2,−4) and is perpendicular to the line x+5y=15. Express your answer in slope-intercept form.
y=mx+b
x+15=5y
15x/5
y=3
Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!
1 x + 5 y = 15
Find the slope of this line
5 y = -1 x + 15
Divide by 5
y = -1/5 x + 3
Compare this equation with y=mx+b
slope m = - 1/5
The slope of a line perpendicular to the above line will be the negative reciprocal =5
m1*m2=-1
m= 5 ,point ( -2 , -4 )
Find b by plugging the values of m & the point in
y=mx+b
-4 = -10.00 + b
b= 6
m= 5
The required equation is y = 5 x + 6
m.ananth@hotmail.ca
RELATED QUESTIONS
Find an equation of the line that passes through the point (5, 4) and is perpendicular to (answered by scott8148)
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 (4, 5) and is perpendicular to (answered by josgarithmetic)
What is the equation of a line that is perpendicular to −x+3y=9 and passes through (answered by Boreal)
Find an equation of the line that passes through the point
(−2, 2)
and is... (answered by josgarithmetic)
Write an equation of the line that passes through (18, 2)(18, 2) and is parallel to the... (answered by Alan3354)
Find an equation of the line that passes through the point (3, 5) and is perpendicular to (answered by stanbon)
Find an equation of the line that passes through the point
(−2, 2)
and is... (answered by Boreal,greenestamps)
Find the equation for the line that passes through the point (−5, 5), and that is... (answered by Cromlix)