SOLUTION: For the equation y = 3x + 5 write the equation of the lines in slope intercept form that pass through point (-4,1) and are parallel and perpendicular to the given line.

Question 544491: For the equation y = 3x + 5 write the equation of the lines in slope intercept form that pass through point (-4,1) and are parallel and perpendicular to the given line.
Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!
1 y = 3 x + 5
Divide by 1
y = 3 x + 5
Compare this equation with y=mx+b
slope m = 3
The slope of a line parallel to the above line will be the same
The slope of the required line will be 3
m= 3 ,point ( -4 , 1 )
Find b by plugging the values of m & the point in
y=mx+b
1 = -12 + b
b= 13
m= 3
Plug value of the slope and b in y = mx +b
The required equation isy = 3 x + 13
For perpendicular line the slope will be negative reciprocal.
which is -1/3
the line passes through (-4,1)
y= mx +b
1=-1/3(-4)+b
1=4/3+b
b=-1/3
The equation will be y= -(1/3) x -1/3

m.ananth@hotmail.ca

RELATED QUESTIONS
In each case determine whether the lines are parallel, perpendicular, or neither.... (answered by swiemers)

I REALLY need help with parallel & Perpendicular lines! Here's what it says: Write an... (answered by ankor@dixie-net.com)

Write an equation for each line in point slope form and slope intercept form that:... (answered by Fombitz)

Write the equation of the line that passes through the point (1,-4) and has a slope of... (answered by solver91311)

Write an equation in slope intercept form that pass through (-3,5) and is parallel to the (answered by josgarithmetic)

Write the equation for the line that has a slope of -4 and passes through the point (0,... (answered by Alan3354)

Write an equation in slope-intercept form that passes through the point (-1, 6) and has (answered by lwsshak3)

1. Determine the slope and the y-intercept of the graph of the equation. 12x + y + 5 = (answered by ReadingBoosters)

the equation of y=-7/3x+5/3 perpendicular and passing through the point (1,-7) in slope... (answered by Alan3354)