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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 (4, 2) and is Parallel to 3x - 2y = -6?
Solution:
Given: (x1, y1) = (4, 2) and Parallel to 3x - 2y = -6
Let's calculate the slope of 3x - 2y = -6
Rewrite the equation in y = mx + c form
3x - 2y = -6
⇒ 2y = 3x + 6
⇒ y = 3/2 x + 3
Thus, Slope(m) = 3/2
As the line is parallel to 3x - 2y = -6, it will also have a slope of 3/2.
The point-slope formula states (y - y1) = m (x - x1)
Substituting the values of m = 3/2 and (x1, y1) = (4, 2) in the above equation we get,
⇒ (y - 2) = (3/2) (x - 4)
⇒ 2y - 4 = 3x - 12
⇒ 3x – 2y = 8
Hence, The equation of the line that passes through (4, 2) and is parallel to 3x - 2y = -6 is 3x - 2y = 8.
What is the Equation of the Line that Passes through (4, 2) and is Parallel to 3x - 2y = -6?
Summary:
The Equation of the Line that Passes through (4, 2) and is Parallel to 3x - 2y = -6 is 3x - 2y = 8.
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