SOLUTION: write an equation of the line that passes through point (4,7) and is perpendicular to the line whose equation is 2x+3y=4
Algebra.Com
Question 509313: write an equation of the line that passes through point (4,7) and is perpendicular to the line whose equation is 2x+3y=4
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
write an equation of the line that passes through point (4,7) and is perpendicular to the line whose equation is 2x+3y=4
---
slope-intercept form of the given line: y = (-2/3)x +(4/3)
Notice the slope is -2/3
----
Any perpendicular line must have slope = 3/2
------
Find equation of line with m = 3/2 passing thru (4,7)
Form: y = mx + b
7 = (3/2)4 + b
7 = 6 + b
b = 1
----
Equation:
y = (3/2)x + 1
=====================
Cheers,
Stan H.
=====================
RELATED QUESTIONS
Write an equation of the line that passes through the point at (4,4) and is perpendicular (answered by jim_thompson5910,edjones)
Write an equation of the line that passes through the point at (4,4) and is perpendicular (answered by MathLover1)
write an equation of the line that passes through the point (4,4) and is perpendicular to (answered by yuendatlo,jojo14344)
Write an equation of the line that passes through the point at (4,4)and is perpendicular... (answered by Earlsdon)
Write the equation of the line that passes through the point (2,-4) and is perpendicular... (answered by scott8148)
What is an equation of the line that passes through the point (−4,−3) and is... (answered by Alan3354)
Find an equation of the line that passes through the point (-2,-4) and is perpendicular... (answered by solver91311)
Find an equation of the line that passes through the point (5, 4) and is perpendicular to (answered by scott8148)
How do you write an equation of the line that passes through the point (4, 7) and
is... (answered by jim_thompson5910)