The equation of the line passing through the points A(4, 3) and B(–2, 6) is : 1. x + 2y – 10 = 0 2. x – 2y – 6 = 0 3. x – 3y + 8 = 0 4. x + 2y – 6 = 0

We know that, By point-slope form : ⇒ y - y1 = m(x - x1) ⇒ y - 3 = (x - 4) ⇒ 2(y - 3) = -1(x - 4) ⇒ 2y - 6 = -x + 4 ⇒ x + 2y - 6 - 4 = 0 ⇒ x + 2y - 10 = 0. Hence, option 1 is the correct option.

Mathematics

The equation of the line passing through the points A(4, 3) and B(–2, 6) is :
x + 2y – 10 = 0
x – 2y – 6 = 0
x – 3y + 8 = 0
x + 2y – 6 = 0

Straight Line Eq

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Answer

We know that,

$m = \dfrac{y$

By point-slope form :

⇒ y - y₁ = m(x - x₁)

⇒ y - 3 = $-\dfrac{1}{2}$ (x - 4)

⇒ 2(y - 3) = -1(x - 4)

⇒ 2y - 6 = -x + 4

⇒ x + 2y - 6 - 4 = 0

⇒ x + 2y - 10 = 0.

Hence, option 1 is the correct option.

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Mathematics

The equation of the line passing through the points A(4, 3) and B(–2, 6) is :
x + 2y – 10 = 0
x – 2y – 6 = 0
x – 3y + 8 = 0
x + 2y – 6 = 0

Straight Line Eq

Answer

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Mathematics

The equation of the line passing through the points A(4, 3) and B(–2, 6) is :x + 2y – 10 = 0x – 2y – 6 = 0x – 3y + 8 = 0x + 2y – 6 = 0

Straight Line Eq

Answer

Related Questions

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The equation of a line passing through the point (5, –3) and having the y-intercept of 8 units below the x-axis is:x + y – 8 = 0x – y – 8 = 02x + y – 4 = 0x – 2y – 8 = 0

The value of m such that the points A(5, –2), B(8, –3) and C(m, –12) are collinear, is:29333541

The equation of the line passing through the points A(4, 3) and B(–2, 6) is :
x + 2y – 10 = 0
x – 2y – 6 = 0
x – 3y + 8 = 0
x + 2y – 6 = 0

The equation of a straight line passing through the point (–6, 8) and parallel to the x-axis is:
x – 6 = 0
x + 6 = 0
y – 8 = 0
y + 8 = 0

The slope of the line, 3x – $2\sqrt2y$ – 4 = 0 is:
$\dfrac{3\sqrt{2}}{2}$
$\dfrac{-3\sqrt{2}}{2}$
$\dfrac{3\sqrt{2}}{4}$
$-\dfrac{3\sqrt{2}}{4}$

The equation of a line passing through the point (5, –3) and having the y-intercept of 8 units below the x-axis is:
x + y – 8 = 0
x – y – 8 = 0
2x + y – 4 = 0
x – 2y – 8 = 0

The value of m such that the points A(5, –2), B(8, –3) and C(m, –12) are collinear, is:
29
33
35
41