Question

The equation of a line passing through a point (4, 5) and having slope units is 3 2. O 3X – 24 - 2 = 0 - 3x - 2y + 22 = 0 O 3x + 2y + 2 = 0 3x + 2y + 17 =0​

Answer 1

Answer:

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Step-by-step explanation:

Let the Slope of line be m

Now, slope of other lines are 43,512

The Slope is Equally inclined so it must lie between these slopes 

such that 

43<m<512

As it is equally inclined so angle between the line and the two given line must be same 

⇒θ1=θ2⇒tanθ1=tanθ2⇒1+512m512−m=1+43mm−43⇒63m2−32m−63=0

⇒m=2∗6332±322+4∗63∗63⇒m=9−7,79

Now, Equation of line as it passes through (4,5) will be 

y−5=m(x−4)

Putting the obtained values of m in above Equation we get