A day full of math games & activities. Find one near you.
A day full of math games & activities. Find one near you.
A day full of math games & activities. Find one near you.
A day full of math games & activities. Find one near you.
What is the equation of the line that passes through (-2, -3) and is perpendicular to 2x - 3y = 6?
Solution:
Given point (-2, -3) and the line 2x - 3y = 6
Consider 2x - 3y = 6
-3y = 6 - 2x
y= 2/3 x - 2
This is in the standard form y = mx + b
m1 = 2/3
Also given that the line is perpendicular to the given line
So, the product of their slopes must be equal to -1.
So, m2 = -3/2
We have point-slope formula y - y1 = m(x - x1)
y - (-3) = (-3/2)(x - (-2))
y + 3 = (-3/2)(x + 2)
2(y + 3) = -3(x + 2)
2y + 6 = -3x - 6
3x + 2y + 12 = 0
What is the equation of the line that passes through (-2, -3) and is perpendicular to 2x - 3y = 6?
Summary:
The equation of the line that passes through (-2, -3) and is perpendicular to 2x - 3y = 6 is 3x + 2y + 12 = 0
Math worksheets and
visual curriculum
visual curriculum