Question

If the angle between two lines is 45 ° and the slope of one of the line is 1/2 find the slope of the other line​

Answer 1

Answer:

-1/3  or 3

Step-by-step explanation:

If θ is the angle between any two line and their slopes are m₁ and m₂,  then

tanθ =  | (m₁ - m₂)/(1 + m₁m₂) |

     In the question, m₁ = 1/2 , θ = 45°

∴ tan45° = | (1/2 - m₂)/(1 + m₂/2) |

             1 = ± (1/2 - m₂)/(1 + m₂/2)

1(1 + m₂/2) = ± (1/2 - m₂)

 1 + m₂/2  = 1/2 - m₂ or 1 + m₂/2 = -1/2+m₂

         3m₂/2 = -1/2   or 3/2 = m₂/2

          m₂ = -1/3    or   3 = m₂

Hence, slope of the other line is -1/3 or 3

Answer 2

Answer:

$\qquad\qquad\underline{\textsf{\textbf{ \color{magenta}{Question :-} }}}$

• If the angle between two lines is 45 ° and the slope of one of the line is 1/2 find the slope of the other line.

$\qquad\qquad\underline{\textsf{\textbf{ \color{magenta}{Find :-} }}}$

• Find the slope of the other line.

$\qquad\qquad\underline{\textsf{\textbf{ \color{magenta}{Solution :-} }}}$

The slope of the other line is - ⅓ or ± 3.

[Please refer that picture for the answer. ]

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${\large{\bold{\purple{\underline{Extra\: Brainly\: Shots}}}}}$

$\red{ \boxed{\sf{\bigstar\: Slope :-}}}$

• Slope is the 'steepness' of the line, also commonly known as rise over run. We can calculate slope by dividing the change in the y-value between two points over the change in the x-value.

$\red{ \boxed{\sf{\bigstar\: Angle :-}}}$

• The amount of rotation about the point of intersection of two planes (or lines) which is required to bring one in correspondence with the other is called an Angle.

$\red{ \boxed{\sf{\bigstar\: Types\: Of\: Angles :-}}}$

Acute Angle:

• It lies between 0° to 90.

Obtuse Angle:

• It lies between 90° to 180°.

Right Angle:

• The angle which is exactly equal to 90°.

Straight Angle:

• The angle which is exactly equal to 180°.

Reflex Angle:

• The angle which is greater than 180° and less than 360°.

Full Rotation:

• The complete rotation of angle equal to 360°.

HOPE IT HELPS YOU :)