Question

The equation of the straight line through (3, 2) and making
an
angle 45° with x axis is​

Answer 1

EXPLANATION.

Equation of straight lines passing through point = (3,2).

Making an angle of 45° with x-axis.

As we know that,

Slope = tanθ = 45° = 1.

Equation of straight lines.

⇒ (y - y₁) = m(x - x₁).

Put the value in the equation, we get.

⇒ (y - 2) = 1(x - 3).

⇒ y - 2 = x - 3.

⇒ y - x - 2 + 3 = 0.

⇒ y - x + 1 = 0.

                                                                                                                           

MORE INFORMATION.

Different forms of the equation of straight lines.

(1) = Slope : intercept form : y = mx + c.

(2) = Slope point form : The equation of a line with slope m and passing through a point (x₁, y₁) is : (y - y₁) = m(x - x₁).

(3) = Two point form : (y - y₁) = (y₂ - y₁)/(x₂ - x₁) (x - x₁).

(4) = Intercept form : x/a + y/b = 1.

(5) = Normal (perpendicular) form of a line : x cosα + y sinα = p.

(6) = Parametric form (distance form) : x - x₁/cosθ = y - y₁/sinθ = r.

Answer 2

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