SOLUTION: what equation is perpendicular to the line that passes through the points (-2,-1) and (7,-4)

Algebra.Com
Question 756376: what equation is perpendicular to the line that passes through the points (-2,-1) and (7,-4)
Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!
The slope of the line through (-2,-1) and (7,-4) is...

m = (y2-y1)/(x2-x1)


m = (-4-(-1))/(7-(-2))


m = (-4+1)/(7+2)


m = (-3)/9


m = -1/3

The perpendicular slope is 3/1 = 3 (flip the fraction and flip the sign)

So any equation with a slope of 3 will be perpendicular to this line.

So the equation might be y = 3x + 2 or y = 3x + 5

RELATED QUESTIONS

What is the equation of the line that passes through (-4,-1) that is PERPENDICULAR to the (answered by ewatrrr)
Find the equation of the line that passes through the point (-2, 4) and is perpendicular... (answered by josgarithmetic)
what is the equation of a line that passes through (-7, 1) and is parallel to y = x + 4 (answered by Fombitz)
Write the equation of a line that is perpendicular to the given line and that passes... (answered by josmiceli)
Find the equation of the line that passes through (3,-5) and is perpendicular to the line (answered by checkley71)
Find the equation of the line that passes through (3,-5) and is perpendicular to the line (answered by Alan3354)
Find the equation of the line that passes through the point (1,-2) and is perpendicular... (answered by mananth)
Find the equation of the line that is perpendicular to the line in y=-1/4+2x and passes... (answered by Fombitz,ewatrrr)
find the equation for the line that passes through the points (-2,4) and that is... (answered by stanbon)