SOLUTION: Write an equation for a line perpendicular to 3y+6x=−6 and passing through the point (-4,-6)

Algebra.Com
Question 1195347: Write an equation for a line perpendicular to 3y+6x=−6 and passing through the point (-4,-6)
Answer by MathLover1(20850)   (Show Source): You can put this solution on YOUR website!

an equation for a line perpendicular to and passing through the point (,)
perpendicular lines have a slopes negative reciprocal to each other
so, write the equation of given line in slope intercept form




=> slope is

then a slope of the perpendicular line will be
now we have a slope and one point which is enough to find equation of the perpendicular line using point slope formula

.........plug in and point (,)









-> your line







RELATED QUESTIONS

Write an equation for a line perpendicular to y = -2x-5 and passing through the point... (answered by Cromlix)
Write an equation of a line passing through point(-1,9) and perpendicular to the line... (answered by Maths68)
Write an equation for a line perpendicular to-4x=-2 2y and passing through the point... (answered by Cromlix)
write an equation for the line that is perpendicular to x/5 - 3y = 6 and passes through... (answered by josmiceli)
Write an equation for a line perpendicular to y=4x+5 and passing through the point (4,1) (answered by josgarithmetic)
Write an equation for a line perpendicular to 4y−16x=16 and passing through the... (answered by Boreal,MathLover1)
Write an equation in all 3 forms: slope intercept, point slope, and standard passing... (answered by ewatrrr)
Write the slope-intercept for of the equation of a line passing through the point (-2,3)... (answered by jim_thompson5910)
Write an equation for each line in point slope form and slope intercept form that:... (answered by Fombitz)